Transmitter and repetition method thereof

ABSTRACT

A transmitter is provided. The transmitter includes: a low density parity check (LDPC) encoder configured to encode input bits to generate an LDPC codeword including the input bits and parity bits; a repeater configured to select at least a part of bits constituting the LDPC codeword and add the selected bits after the input bits; and a puncturer configured to puncture at least a part of the parity bits.

CROSS-REFERENCE TO THE RELATED APPLICATIONS

This is a continuation of U.S. application Ser. No. 16/503,945, filedJul. 5, 2019, which is a continuation of U.S. application Ser. No.15/343,933, filed Nov. 4, 2016, now U.S. Pat. No. 10,389,390 issued Aug.20, 2019, which is a continuation of U.S. application Ser. No.15/099,998, filed Apr. 15, 2016, now U.S. Pat. No. 9,525,437 issued Dec.20, 2016, which is a continuation of U.S. patent application Ser. No.15/052,049, filed Feb. 24, 2016, now U.S. Pat. No. 10,027,350 issuedJul. 17, 2018, which claims priority from Korean Patent Application No.10-2015-0137187, filed on Sep. 27, 2015 and U.S. Provisional ApplicationNos. 62/120,108 and 62/126,902, filed on Feb. 24, 2015 and Mar. 2, 2015,respectively. The entire disclosures of the prior applications areconsidered part of the disclosure of this continuation application, andare hereby incorporated by reference.

BACKGROUND 1. Field

Apparatuses and methods consistent with the exemplary embodiments of theinventive concept relate to a transmitter and a bit repetition methodthereof, and more particularly, to a transmitter processing andtransmitting input bits and a bit repetition method thereof.

2. Description of the Related Art

Broadcast communication services in information oriented society of the21^(st) century are entering an era of digitalization,multi-channelization, bandwidth broadening, and high quality. Inparticular, as a high definition digital television (TV), a personalmedia player (PMP), and portable broadcasting devices are widespread,digital broadcasting services have an increased demand for supportingimproved transmitting and receiving schemes.

According to such demand, standard groups set up various standards toprovide signal transmission and reception services satisfying the needsof a user. Still, however, a method of providing services to a user withmore improved performance is required.

SUMMARY

Exemplary embodiments of the inventive concept may overcomedisadvantages of related art signal transmitter and receiver and methodsthereof. However, these embodiments are not required to or may notovercome such disadvantages.

The exemplary embodiments provide a transmitter, a receiver and arepetition method of repeating bits of a broadcasting signal whichenables transmission of the repeated bits.

According to an aspect of an exemplary embodiment, there is provided atransmitter which may include: a low density parity check (LDPC) encoderconfigured to encode input bits to generate an LDPC codeword includingthe input bits and parity bits; a repeater configured to select at leasta part of bits constituting the LDPC codeword and add the selected bitsafter the input bits; and a puncturer configured to puncture at least apart of the parity bits.

The input bits may include zero bits padded in the input bits, and therepeater is configured to calculate a number of bits to be selected andadded after the input bits based on a number of bits other than thepadded zero bits in the input bits.

The input bits may include outer encoded bits, and the repeater isconfigured to calculate a number of bits to be selected and added afterthe input bits based on a number of the outer encoded bits.

The repeater may calculate the number of the bits to be selected andadded after the input bits, based on Equation 8.

The puncturer may puncture the part of the parity bits from a last bitof the parity bits.

When the calculated number of the bits to be selected and added afterthe input bits is equal to or less than the number of the parity bits,the repeater may select bits as many as the calculated number from afirst bit of the parity bits and add the selected bits after the inputbits.

When the calculated number of the bits to be selected and added afterthe input bits is greater than the number of the parity bits, therepeater may select all the parity bits and add the selected parity bitsafter the input bits, and additionally select bits as many as a numberobtained by subtracting the number of the parity bits from thecalculated number of the added bits from a first bit of the parity bitsand add the additionally selected bits after the added parity bits.

According to an aspect of another exemplary embodiment, there isprovided a repetition method of a transmitter which nay include:encoding input bits to generate an LDPC codeword including the inputbits and parity bits; selecting at least a part of bits constituting theLDPC codeword and adding the selected bits after the input bits; andpuncturing at least a part of the parity bits.

The input bits may include zero bits padded in the input bits, and themethod may further include calculating the number of bits to be selectedand added after the input bits, before the adding, based on a number ofbits other than the padded zero bits in the input bits.

The input bits may include outer encoded bits, and the method mayfurther include calculating the number of bits to be selected and addedafter the input bits, before the adding, based on a number of outerencoded bits.

The above calculating may be performed based on Equation 8.

The puncturing may be performed from a last bit of the parity bits.

When the calculated number of the bits to be selected and added afterthe input bits is equal to or less than the number of the parity bits,the selecting and adding may include selecting bits as many as thecalculated number from a first bit of the parity bits and adding theselected bits after the input bits.

When the calculated number of the bits to be selected and added afterthe input bits is greater than the number of the parity bits, theselecting and adding may include: selecting all the parity bits andadding the selected parity bits after the input bits; and additionallyselecting bits as many as a number obtained by subtracting the number ofthe parity bits from the calculated number of the added bits from afirst bit of the parity bits and adding the additionally selected bitsafter the added parity bits.

As described above, according to the exemplary embodiments, some of theparity bits may be additionally transmitted to improve decodingperformance at the receiver of the input bits and the parity bits.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a block diagram for describing a configuration of atransmitter according to an exemplary embodiment;

FIGS. 2 and 3 are diagrams for describing parity check matricesaccording to exemplary embodiments;

FIGS. 4 to 7 are block diagrams for describing repetition according toexemplary embodiments;

FIGS. 8 to 11 are block diagrams for describing puncturing according toexemplary embodiments;

FIG. 12 is a diagram for describing a frame structure according to anexemplary embodiment;

FIGS. 13 and 14 are block diagrams for describing detailedconfigurations of a transmitter according to exemplary embodiments;

FIGS. 15 to 28 are diagrams for describing methods for processingsignaling according to exemplary embodiments;

FIGS. 29 to 31 are diagrams for describing repetition methods accordingto exemplary embodiments;

FIGS. 32 and 33 are block diagrams for describing configurations of areceiver according to exemplary embodiments;

FIGS. 34 and 35 are diagrams for describing examples of combining LLRvalues of a receiver according to exemplary embodiments;

FIG. 36 is a diagram illustrating an example of providing information ona length of an L1 signaling according to an exemplary embodiment; and

FIG. 37 is a flow chart for describing a repetition method according toan exemplary embodiment.

DETAILED DESCRIPTION OF THE EXEMPLARY EMBODIMENT

Hereinafter, exemplary embodiments of the inventive concept will bedescribed in more detail with reference to accompanying drawings.

FIG. 1 is a block diagram for describing a configuration of atransmitter according to an exemplary embodiment.

Referring to FIG. 1 , a transmitter 100 includes a Low Density ParityCheck (LDPC) encoder 110, a repeater 120 and a puncturer 130.

The LDPC encoder 110 may encode input bits. In other words, the LDPCencoder 110 may perform LDPC encoding on the input bits to generateparity bits, that is, LDPC parity bits.

Here, the input bits are LDPC information bits for the LDPC encoding andmay include outer-encoded bits and zero bits (that is, bits having a 0value), in which the outer-encoded bits include information bits andparity bits (or parity check bits) generated by outer-encoding theinformation bits.

Hereinafter, the information bits may be signaling (alternativelyreferred to as “signaling bits” or “signaling information”). Thesignaling may include information required for a receiver 200 (asillustrated in FIG. 32 or 33 ) to process service data (for example,broadcasting data) transmitted from the transmitter 100.

Further, outer encoding is a coding operation which is performed beforeinner encoding in a concatenated coding operation, and may use variousencoding schemes such as Bose, Chaudhuri, Hocquenghem (BCH) encodingand/or cyclic redundancy check (CRC) encoding. In this case, the innerencoding may be the LDPC encoding.

For LDPC encoding, a predetermined number of LDPC information bitsdepending on a code rate and a code length are required. Therefore, whenthe number of outer-encoded bits generated by outer-encoding theinformation bits is less than the required number of LDPC informationbits, an appropriate number of zero bits are padded to obtain therequired number of LDPC information bits for the LDPC encoding.Therefore, the outer-encoded bits and the padded zero bits may configurethe LDPC information bits as many as the number of bits required for theLDPC encoding.

Since the padded zero bits are bits required to obtain the predeterminednumber of bits for the LDPC encoding, the padded zero bits areLDPC-encoded and then are not transmitted to the receiver 200. As such,a procedure of padding zero bits, and then, not transmitting the paddedzero bits to the receiver 200 may be called shortening. In this case,the padded zero bits may be called shortening bits (or shortened bits).

For example, it is assumed that the number of information bits isK_(sig) and the number of bits when M_(outer) parity bits are added tothe information bits by the outer encoding, that is, the number ofouter-encoded bits including the information bits and the parity bits isN_(outer) (=K_(sig)+M_(outer)).

In this case, when the number N_(outer) of outer-encoded bits is lessthan the number K_(ldpc) of LDPC information bits, K_(ldpc)−N_(outer)number of zero bits are padded so that the outer-encoded bits and thepadded zero bits may configure the LDPC information bits together.

Meanwhile, the foregoing example describes that zero bits are padded,which is only one example.

When the information bits are signaling for data or a service data, alength of the information bits may vary depending on the amount of thedata. Therefore, when the number of information bits is greater than thenumber of LDPC information bits required for the LDPC encoding, theinformation bits may be segmented below a predetermined value.

Therefore, when the number of information bits or the number ofsegmented information bits is less than the number obtained bysubtracting the number of parity bits (that is, M_(outer)) generated bythe outer encoding from the number of LDPC information bits, zero bitsare padded as many as the number obtained by subtracting the number ofouter-encoded bits from the number of LDPC information bits so that theLDPC information bits may be formed of the outer-encoded bits and thepadded zero bits.

However, when the number of information bits or the number of segmentedinformation bits are equal to the number obtained by subtracting thenumber of parity bits generated by the outer encoding from the number ofLDPC information bits, the LDPC information bits may be formed of theouter-encoded bits without the padded zero bits.

Further, the foregoing example describes that the information bits areouter-encoded, which is only one example. However, the information bitsmay not be outer-encoded and configure the LDPC information bits alongwith the zero bits padded depending on the number of information bits oronly the information bits may configure the LDPC information bitswithout separately padding.

Meanwhile, for convenience of explanation, the outer encoding will bedescribed below under the assumption that it is performed by the BCHencoding.

In detail, the input bits will be described under the assumption thatthey include BCH-encoded bits and zero bits, the BCH-encoded bitsincluding the information bits and BCH parity-check bits (or BCH paritybits) generated by BCH-encoding the information bits.

That is, it is assumed that the number of information bits is K_(sig)and the number of bits when M_(outer) BCH parity check bits by the BCHencoding are added to the information bits, that is, the number of BCHencoded bits including the information bits and the BCH parity checkbits is N_(outer)(=K_(sig)+M_(outer)). Here, M_(outer)=168.

Further, the foregoing example describes that zero bits, which will beshortened, are padded, which is only one example. That is, since zerobits are bits having a value preset by the transmitter 100 and thereceiver 200 and padded only to form LDPC information bits along withinformation bits including information to be substantially transmittedto the receiver 200, bits having another value (for example, 1) presetby the transmitter 100 and the receiver 200 instead of zero bits may bepadded for the shortening.

The LDPC encoder 110 may systematically encode the LDPC information bitsto generate LDPC parity bits, and output an LDPC codeword (orLDPC-encoded bits) formed of the LDPC information bits and the LDPCparity bits. That is, an LDPC code is a systematic code, and therefore,the LDPC codeword may be formed of the LDPC information bits beforebeing LDPC-encoded and the LDPC parity bits generated by the LDPCencoding.

For example, the LDPC encoder 110 may LDPC-encode K_(ldpc) LDPCinformation bits i=(i₀, i₁, . . . , i_(K) _(ldpc) ⁻¹) to generateN_(ldpc_parity) LDPC parity bits (p₀, p₁, . . . , p_(N) _(ldpc) _(−K)_(ldpc) ⁻¹) and output an LDPC codeword Λ=(c₀, c₁, . . . , c_(N)_(inner) ⁻¹)=(i₀, i₁, . . . , i_(K) _(ldpc) ⁻¹, p₀, p₁, . . . , p_(N)_(inner) _(−K) _(ldpc) ⁻¹) formed of N_(inner)(=K_(ldpc)+N_(ldpc_parity)) bits.

In this case, the LDPC encoder 110 may perform LDPC encoding on theinput bits (i.e., LDPC information bits) at various code rates togenerate an LDPC codeword having a predetermined length.

For example, the LDPC encoder 110 may perform the LDPC encoding on 3240input bits at a code rate of 3/15 to generate an LDPC codeword formed of16200 bits. As another example, the LDPC encoder 110 may perform theLDPC encoding on 6480 input bits at a code rate of 6/15 to generate theLDPC codeword formed of 16200 bits.

Meanwhile, a process of performing the LDPC encoding is a process ofgenerating an LDPC codeword to satisfy H·C^(T)=0, and thus, the LDPCencoder 110 may use a parity check matrix to perform the LDPC encoding.Here, H represents the parity check matrix and C represents the LDPCcodeword.

Hereinafter, a structure of the parity check matrix according to variousexemplary embodiments will be described with reference to theaccompanying drawings. In the parity check matrix, elements of a portionother than 1 are 0.

For example, the parity check matrix according to the exemplaryembodiment may have a structure as illustrated in FIG. 2 .

Referring to FIG. 2 , a parity check matrix 20 may be formed of fivesub-matrices A, B, C, Z and D. Hereinafter, for describing the structureof the parity check matrix 20, each matrix structure will be described.

The sub-matrix A is formed of K columns and g rows, and the sub-matrix Cis formed of K+g columns and N−K−g rows. Here, K (or K_(ldpc))represents a length of LDPC information bits and N (or N_(inner))represents a length of the LDPC codeword.

Further, in the sub-matrices A and C, indexes of a row in which 1 ispositioned in a 0-th column of an i-th column group may be defined basedon Table 1 when the length of the LDPC codeword is 16200 and the coderate is 3/15. Meanwhile, the number of columns belonging to the samecolumn group may be 360.

TABLE 1 8 372 841 4522 5253 7430 8542 9822 10550 11896 11988 80 255 6671511 3549 5239 5422 5497 7157 7854 11267 257 406 792 2916 3072 3214 36384090 8175 8892 9003 80 150 346 1883 6838 7818 9482 10366 10514 1146812341 32 100 978 3493 6751 7787 8496 10170 10318 10451 12561 504 803 8562048 6775 7631 8110 8221 8371 9443 10990 152 283 696 1164 4514 4649 72607370 11925 11986 12092 127 1034 1044 1842 3184 3397 5931 7577 1189812339 12689 107 513 979 3934 4374 4658 7286 7809 8830 10804 10893 20452499 7197 8887 9420 9922 10132 10540 10816 11876 2932 6241 7136 78358541 9403 9817 11679 12377 12810 2211 2288 3937 4310 5952 6597 969210445 11064 11272

Hereinafter, positions (alternatively referred to as “indexes” or “indexvalues”) of a row in which 1 is positioned in the sub-matrices A and Cwill be described in detail with reference to, for example, Table 1.

When the length of the LDPC codeword is 16200 and the code rate is 3/15,coding parameters M₁, M₂, Q₁ and Q₂ based on the parity check matrix 200each are 1080, 11880, 3 and 33.

Here, Q₁ represents a size at which columns belonging to the same columngroup in the sub-matrix A are cyclic-shifted and Q₂ represents a size atwhich columns belonging to the same column group in the sub-matrix C arecyclic-shifted.

Further, Q₁=M₁/L, Q₂=M₂/L, M₁=g, M₂=N−K−g and L represents an intervalat which patterns of the column are repeated in the sub-matrices A andC, respectively, that is, the number (for example, 360) of columnsbelonging to the same column group.

The indexes of the row in which 1 is positioned in the sub-matrices Aand C, respectively, may be determined based on an M₁ value.

For example, in above Table 1, since M₁=1080, the position of the row inwhich 1 is positioned in the 0-th column of the i-th column group in thematrix A may be determined based on values less than 1080 among indexvalues of above Table 1, and the position of the row in which 1 ispositioned in the 0-th column of the i-th column group in the sub-matrixC may be determined based on values equal to or greater than 1080 amongthe index values of above Table 1.

In detail, a sequence corresponding to the 0-th column group in aboveTable 1 is “8 372 841 4522 5253 7430 8542 9822 10550 11896 11988”.Therefore, in the 0-th column of the 0-th column group in the sub-matrixA, 1 may be positioned in an eighth row, a 372-th row, and an 841-throw, respectively, and in the 0-th column of the 0-th column group inthe sub-matrix C, 1 may be positioned in a 4522-th row, a 5253-th row, a7430-th row, an 8542-th row, a 9822-th row, a 10550-th row, a 11896-throw, and a 11988-row, respectively.

In the matrix A, when the position of 1 is defined in the 0-th columnsof each column group, it may be cyclic-shifted by the Q₁ to define aposition of a row in which 1 is positioned in other columns of eachcolumn group, and in the sub-matrix C, when the position of 1 is definedin the 0-th columns of each column group, it may be cyclic-shifted bythe Q₂ to define a position of a row in which 1 is positioned in othercolumns of each column group.

In the foregoing example, in the 0-th column of the 0-th column group inthe sub-matrix A, 1 is positioned in an eighth row, a 372-th row, and an841-th row. In this case, since Q₁=3, indexes of a row in which 1 ispositioned in a first column of the 0-th column group may be 11(=8+3),375(=372+3), and 844(=841+3) and indexes of a row in which 1 ispositioned in a second column of the 0-th column group may be 14(=11+3),378(=375+3), and 847(=844+3).

In the 0-th column of the 0-th column group in the sub-matrix C, 1 ispositioned in a 4522-th row, a 5253-th row, a 7430-th row, a 8542-throw, a 9822-th row, a 10550-th row, a 11896-th row, and a 11988-th row.In this case, since Q₂=33, the indexes of the row in which 1 ispositioned in the first column of the 0-th column group may be4555(=4522+33), 5286(=5253+33), 7463(=7430+33), 8575(=8542+33),9855(=9822+33) 10583(=10550+33), 11929(=11896+33), and 12021(=11988+33)and the indexes of the row in which 1 is positioned in the second columnof the 0-th column group may be 4588(=4555+33), 5319(=5286+33),7496(=7463+33), 8608(=8575+33), 9888(=9855+33), 10616(=10583+33),11962(=11929+33), and 12054(=12021+33).

According to the scheme, the positions of the row in which 1 ispositioned in all column groups in the sub-matrices A and C may bedefined.

Meanwhile, the matrix B is a dual diagonal matrix, the sub-matrix D isan identity matrix, and the sub-matrix Z is a zero matrix.

As a result, the structure of the parity check matrix 20 as illustratedin FIG. 2 may be defined by the sub-matrices A, B, C, D and Z having theabove structure.

Hereinafter, a method for performing, by the LDPC encoder 110, the LDPCencoding based on the parity check matrix 20 as illustrated in FIG. 2will be described.

The LDPC code may be used to encode an information block S=(s₀, s₁, . .. , s_(K−1)). In this case, to generate an LDPC codeword Λ=(λ₀, λ₁, . .. , λ_(N-1)) having a length of N=K+M₁+M₂, parity blocks P=(p₀, p₁, . .. , p_(M) ₁ _(+M) ₂ ⁻¹) from the information block S may besystematically encoded.

As a result, the LDPC codeword may be Λ=(s₀, s₁, . . . , s_(K−1), p₀,p₁, . . . , p_(M) ₁ _(+M) ₂ ⁻¹).

Here, M₁ and M₂ each represent a size of parity sub-matricescorresponding to the dual diagonal sub-matrix B and the identitysub-matrix D, respectively, in which M₁=g and M₂=N−K−g.

A process of calculating parity bits may be represented as follows.Hereinafter, for convenience of explanation, a case in which the paritycheck matrix 20 is defined as above Table 1 will be described as oneexample.

Step 1) It is initialized to λ_(i)=s_(i)(i=0, 1, . . . , K−1), p_(j)=0(j=0, 1, . . . , M₁+M₂−1).

Step 2) A first information bit λ₀ is accumulated in a parity bitaddress defined in the first row of above Table 1.

Step 3) For the next L−1 information bits λ_(m)(m=1, 2, . . . , L−1),λ_(m) is accumulated in the parity bit address calculated based onfollowing Equation 1.(x+m×Q ₁)mod M ₁(if x<M ₁)M ₁+{(x−M ₁ +m×Q ₂)mod M ₂} (if x≥M ₁)  (1),

In above Equation 1, x represents an address of a parity bit accumulatorcorresponding to a first information bit λ₀. Further, Q₁=M₁/L andQ₂=M₂/L.

Further, Q₁=M₁/L and Q₂=M₂/L. In this case, since the length of the LDPCcodeword is 16200 and the code rate is 3/15, M₁=1080, M₂=11880, Q₁=3,Q₂=33, L=360.

Step 4) Since the parity bit address like the second row of above Table1 is given to an L-th information bit λ_(L), similar to the foregoingscheme, the parity bit address for next L−1 information bits λ_(m)(m=L+1, L+2, . . . , 2L−1) is calculated by the scheme described in theabove step 3). In this case, x represents the address of the parity bitaccumulator corresponding to the information bit L and may be obtainedbased on the second row of above Table 1.

Step 5) For L new information bits of each group, the new rows of aboveTable 1 are set as the address of the parity bit accumulator and thusthe foregoing process is repeated.

Step 6) After the foregoing process is repeated from the codeword bit λ₀to λ_(K−1), a value for following Equation 2 is sequentially calculatedfrom i=1.P _(i) =P _(i) ⊕P _(i-1)(i=1,2, . . . ,M ₁−1)  (2)

Step 7) The parity bits λ_(K) to λ_(K+M) ₁ ⁻¹ corresponding to the dualdiagonal sub-matrix B are calculated based on following Equation 3.λ_(K+L×t+s) =p _(Q) ₁ _(×s+t)(0≤s<L,0≤t<Q ₁)  (3)

Step 8) The address of the parity bit accumulator for the L new codewordbits λ_(K) to λ_(K+M) ₁ ⁻¹ of each group is calculated based on the newrow of above Table 1 and above Equation 1.

Step 9) After the codeword bits λ_(K) to λ_(K+M) ₁ ⁻¹ are applied, theparity bits λ_(K+M) ₁ to λ_(K+M) ₁ _(+M) ₂ ⁻¹ corresponding to thesub-matrix D are calculated based on following Equation 4.λ_(K+M) ₁ _(+L×t+s) =p _(M) ₁ _(+Q) ₂ _(×s+t)(0≤s<L,0≤t<Q ₂)  (4)

As a result, the parity bits may be calculated by the above scheme.However, this is only one example, and thus, the scheme for calculatingthe parity bits based on the parity check matrix as illustrated in FIG.2 may be variously defined.

As such, the LDPC encoder 110 may perform the LDPC encoding based onabove Table 1 to generate the LDPC codeword.

In detail, the LDPC encoder 110 may perform the LDPC encoding on 3240input bits, that is, the LDPC information bits at the code rate of 3/15based on above Table 1 to generate 12960 LDPC parity bits, and outputthe LDPC parity bits and the LDPC codeword including the LDPC paritybits. In this case, the LDPC codeword may be formed of 16200 bits.

As another example, the parity check matrix according to the exemplaryembodiment may have a structure as illustrated in FIG. 3 .

Referring to FIG. 3 , a parity check matrix 30 is formed of aninformation sub-matrix 31 which is a sub-matrix corresponding to theinformation bits (that is, LDPC information bits) and a paritysub-matrix 32 which is a sub-matrix corresponding to the parity bits(that is, LDPC parity bits).

The information sub-matrix 31 includes K_(ldpc) columns and the paritysub-matrix 32 includes N_(ldpc_parity)=N_(inner)−K_(ldpc) columns.Meanwhile, the number of rows of the parity check matrix 30 is equal tothe number N_(ldpc_parity)=N_(inner)−K_(ldpc) of columns of the paritysub-matrix 32.

Further, in the parity check matrix 30, N_(inner) represents the lengthof the LDPC codeword, K_(ldpc) represents the length of the informationbits, and N_(ldpc_parity)=N_(inner)−K_(ldpc) represents the length ofthe parity bits.

Hereinafter, the structures of the information sub-matrix 31 and theparity sub-matrix 32 will be described.

The information sub-matrix 31 is a matrix including the K_(ldpc) columns(that is, 0-th column to (K_(ldpc)−1)-th column) and depends on thefollowing rule.

First, the K_(ldpc) columns configuring the information sub-matrix 31belong to the same group by M numbers and are divided into a total ofK_(ldpc)/M column groups. The columns belonging to the same column grouphave a relationship that they are cyclic-shifted by Q_(ldpc) from oneanother. That is, the Q_(ldpc) may be considered as a cyclic shiftparameter value for columns of the column group in the informationsub-matrix configuring the parity check matrix 30.

Here, the M is an interval (for example, M=360) at which the patterns ofthe columns in the information sub-matrix 31 are repeated and Q_(ldpc)is a size at which each column in the information sub-matrix 31 iscyclic-shifted. The M is a common divisor of the N_(inner) and theK_(ldpc) and is determined so that Q_(ldpc)=(N_(inner)−K_(ldpc))/M isestablished. Here, M and Q_(ldpc) are integers, respectively, andK_(ldpc)/M also becomes an integer. Meanwhile, the M and the Q_(ldpc)may have various values depending on the length of the LDPC codeword andthe code rate.

For example, when the M=360, the length N_(inner) of the LDPC codewordis 16200, and the code rate is 6/15, the Q_(ldpc) may be 27.

Second, if a degree (herein, the degree is the number of values ispositioned in the column and the degrees of all the columns belonging tothe same column group are the same) of a 0-th column of an i-th (i=0, 1,. . . , K_(ldpc)/M−1) column group is set to be D_(i) and positions (orindex) of each row in which 1 is positioned in the 0-th column of thei-th column group is set to be R_(i,0) ⁽⁰⁾, R_(i,0) ⁽¹⁾, . . . , R_(i,0)^((D) ^(i) ⁻¹⁾, an index R_(i,j) ^((k)) of a row in which a k-th 1 ispositioned in a j-th column in the i-th column group is determined basedon following Equation 5.R _(i,j) ^((k)) R _(i,(j−1)) ^((k)) +Q _(ldpc) mod(N _(inner) −K_(ldpc))  (5)

In above Equation 5, k=0, 1, 2, . . . , D_(i)−1; i=0, 1, . . . ,K_(ldpc)/M−1; j=1, 2, . . . , M−1.

Meanwhile, above Equation 5 may be represented like following Equation6.R _(i,j) ^((k))=(R _(i,0) ^((k))+(j mod M)×Q _(ldpc))mod(N _(inner) −N_(ldpc))  (6)

In above Equation 6, k=0, 1, 2, . . . , D_(i)−1; i=0, 1, . . . ,K_(ldpc)/M−1; j=1, 2, . . . , M−1. In above Equation 6, since j=1, 2, .. . , M−1, (mod M) may be considered as j.

In these Equations, J represents the index of the row in which the k-th1 is positioned in the j-th column in the i-th column group, theN_(inner) represents the length of the LDPC codeword, the K_(ldpc)represents the length of the information bits, the D_(i) represents thedegree of the columns belonging to the i-th column group, the Mrepresents the number of columns belonging to one column group, and theQ_(ldpc) represents the size at which each column is cyclic-shifted.

As a result, referring to the above Equations, if a R_(i,0) ^((k)) valueis known, the index R_(i,j) ^((k)) of the row in which the k-th 1 ispositioned in the j-th column of the i-th column group may be known.Therefore, when the index value of the row in which the k-th 1 ispositioned in the 0-th columns of each column group is stored, thepositions of the column and the row in which the 1 is positioned in theparity check matrix 30 (that is, information sub-matrix 31 of the paritycheck matrix 30) having the structure of FIG. 3 may be checked.

According to the foregoing rules, all the degrees of the columnsbelonging to the i-th column group are D_(i). Therefore, according tothe foregoing rules, the LDPC code in which the information on theparity check matrix is stored may be briefly represented as follows.

For example, when the N_(inner) is 30, the K_(ldpc) is 15, and theQ_(ldpc) is 3, positional information of the row in which 1 ispositioned in the 0-th columns of three column groups may be representedby sequences as following Equation 7, which may be named ‘weight-1position sequence’.R _(1,0) ⁽¹⁾=1,R _(1,0) ⁽²⁾=2,R _(1,0) ⁽³⁾=8,R _(1,0) ⁽⁴⁾=10,R _(2,0) ⁽¹⁾=0,R _(2,0) ⁽²⁾=9,R _(2,0) ⁽³⁾=13,R _(3,0) ⁽¹⁾=0,R _(3,0) ⁽²⁾=14,  (7)

In above Equation 7, R_(i,j) ^((k)) represents the indexes of the row inwhich the k-th 1 is positioned in the j-th column of the i-th columngroup.

The weight-1 position sequences as above Equation 7 representing theindex of the row in which 1 is positioned in the 0-th columns of eachcolumn group may be more briefly represented as following Table 2.

TABLE 2 1 2 8 10 0 9 13 0 14

Above Table 2 represents positions of elements having 1 value in theparity check matrix and the i-th weight-1 position sequence isrepresented by the indexes of the row in which 1 is positioned in the0-th column belonging to the i-th column group.

The information sub-matrix 31 of the parity check matrix according tothe exemplary embodiment described above may be defined based onfollowing Table 3.

Here, following Table 3 represents the indexes of the row in which 1 ispositioned in the 0-th column of the i-th column group in theinformation sub-matrix 31. That is, the information sub-matrix 31 isformed of a plurality of column groups each including M columns and thepositions of is in the 0-th columns of each of the plurality of columngroups may be defined as following Table 3.

For example, when the length N_(inner) of the LDPC codeword is 16200,the code rate is 6/15, and the M is 360, the indexes of the row in which1 is positioned in the 0-th column of the i-th column group in theinformation sub-matrix 31 are as following Table 3.

TABLE 3 27 430 519 828 1897 1943 2513 2600 2640 3310 3415 4266 5044 51005328 5483 5928 6204 6392 6416 6602 7019 7415 7623 8112 8485 8724 89949445 9667 27 174 188 631 1172 1427 1779 2217 2270 2601 2813 3196 35823895 3908 3948 4463 4955 5120 5809 5988 6478 6604 7096 7673 7735 77958925 9613 9670 27 370 617 852 910 1030 1326 1521 1606 2118 2248 29093214 3413 3623 3742 3752 4317 4694 5300 5687 6039 6100 6232 6491 66216860 7304 8542 8634 990 1753 7635 8540 933 1415 5666 8745 27 6567 87079216 2341 8692 9580 9615 260 1092 5839 6080 352 3750 4847 7726 4610 65809506 9597 2512 2974 4814 9348 1461 4021 5060 7009 1796 2883 5553 83061249 5422 7057 3965 6968 9422 1498 2931 5092 27 1090 6215 26 4232 6354

According to another exemplary embodiment, a parity check matrix inwhich an order of indexes in each sequence corresponding to each columngroup in above Table 3 is changed is considered as a same parity checkmatrix for an LDPC code as the above described parity check matrix isanother example of the inventive concept.

According to still another exemplary embodiment, a parity check matrixin which an array order of the sequences of the column groups in aboveTable 3 is changed is also considered as a same parity check matrix asthe above described parity check matrix in that they have a samealgebraic characteristics such as cyclic characteristics and degreedistributions on a graph of a code.

According to yet another exemplary embodiment, a parity check matrix inwhich a multiple of Q_(ldpc) is added to all indexes of a sequencecorresponding to column group in above Table 3 is also considered as asame parity check matrix as the above described parity check matrix inthat they have a same cyclic characteristics and degree distributions onthe graph of the code. Here, it is to be noted that when a valueobtained by adding the multiple of Q_(ldpc) to a given sequence is equalto or more than N_(inner)−K_(ldpc), the value needs to be changed into avalue obtained by performing a modulo operation on theN_(inner)−K_(ldpc) and then applied.

Meanwhile, if the position of the row in which 1 is positioned in the0-th column of the i-th column group in the information sub-matrix 31 asshown in above Table 3 is defined, it may be cyclic-shifted by Q_(ldpc),and thus, the position of the row in which 1 is positioned in othercolumns of each column group may be defined.

For example, as shown in above Table 3, since the sequence correspondingto the 0-th column of the 0-th column group of the informationsub-matrix 31 is “27 430 519 828 1897 1943 2513 2600 2640 3310 3415 42665044 5100 5328 5483 5928 6204 6392 6416 6602 7019 7415 7623 8112 84858724 8994 9445 9667”, in the 0-th column of the 0-th column group in theinformation sub-matrix 31, 1 is positioned in a 27-th row, a 430-th row,a 519-th-row, . . . .

In this case, since Q_(ldpc)(N_(inner)−K_(ldpc))/M=(16200−6480)/360=27,the indexes of the row in which 1 is positioned in the first column ofthe 0-th column group may be 54(=27+27), 457(=430+27), 546(=519+27), . .. , 81(=54+27), 484(=457+27), 573(=546+27) . . . .

By the above scheme, the indexes of the row in which 1 is positioned inall the rows of each column group may be defined.

Hereinafter, the method for performing the LDPC encoding based on theparity check matrix 30 as illustrated in FIG. 3 will be described.

First, information bits to be encoded are set to be i₀, i₁, . . . ,i_(K) _(ldpc) ⁻¹, and code bits output from the LDPC encoding are set tobe c₀, c₁, . . . , c_(N) _(ldpc) ⁻¹.

Further, since the LDPC code is systematic, for k (0≤k<K_(ldpc)−1),c_(k) is set to be i_(k). Meanwhile, the remaining code bits are set tobe p_(k):=c_(k+k) _(ldpc) .

Hereinafter, a method for calculating parity bits p_(k) will bedescribed.

Hereinafter, q(i, j, 0) represents a j-th entry of an i-th row in anindex list as above Table 3, and q(i, j, l) is set to be q(i, j, l)=q(i,j, 0)+Q_(ldpc)×1 (mod N_(inner)−K_(ldpc)) for 0<i<360. Meanwhile, allthe accumulations may be realized by additions in a Galois field (GF)(2). Further, in above Table 3, since the length of the LDPC codeword is16200 and the code rate is 6/15, the Q_(ldpc) is 27.

Meanwhile, when the q(i,j,0) and the q(i,j,1) are defined as above, aprocess of calculating the parity bit is as follows.

Step 1) The parity bits are initialized to ‘0’. That is, p_(k)=0 for0≤k<N_(inner)−K_(ldpc).

Step 2) For all k values of 0≤k<K_(ldpc), i and 1 are set to bei:=└k/360┘ and 1:=k (mod 360). Here, └x┘ is a maximum integer which isnot greater than x.

Next, for all i, i_(k) is accumulated in p_(q(i,j,1)). That is,p_(q(i,0,1))=p_(q(i,0,1))+i_(k), p_(q(i,1,1))=p_(q(i,1,1))+i_(k),p_(q(i,2,1))=p_(q(i,2,1))+i_(k), . . . ,p_(q(i,w(i)-1,1))=p_(q(i,w(i)-1,1))+i_(k) are calculated.

Here, w(i) represents the number of the values (elements) of the i-throw in the index list as above Table 3 and represents the number of isof the column corresponding to i_(k) in the parity check matrix.Further, in above Table 3, the q(i, j, 0) which is the j-th entry of thei-th row is the index of the parity bit and represents the position ofthe row in which 1 is positioned in the column corresponding to thei_(k) in the parity check matrix.

In detail, in above Table 3, the q(i,j,0) which is the j-th entry of thei-th row represents the position of the row in which 1 is positioned inthe first (that is, 0-th) column of the i-th column group in the paritycheck matrix of the LDPC code.

The q(i, j, 0) may also be considered as the index of the parity bit tobe generated by the LDPC encoding according to a method for allowing areal apparatus to implement a scheme for accumulating i_(k) inp_(q(i, j,1)) for all i, and may also be considered as an index inanother form when another encoding method is implemented. However, thisis only one example, and therefore, it is apparent to obtain anequivalent result to the LDPC encoding result which may be obtained fromthe parity check matrix of the LDPC code which may basically begenerated based on the q(i, j, 0) values of above Table 3 whatever theencoding scheme is applied.

Step 3) The parity bit p_(k) is calculated by calculatingp_(k)=p_(k)+p_(k−1) for all k satisfying 0<k<N_(inner)−K_(ldpc).

Accordingly, all code bits c₀, c₁, . . . , c_(N) _(ldpc) ⁻¹ may beobtained.

As a result, the parity bits may be calculated by the above scheme.However, this is only one example and therefore the scheme forcalculating the parity bits based on the parity check matrix asillustrated in FIG. 3 may be variously defined.

As such, the LDPC encoder 110 may perform the LDPC encoding based onabove Table 3 to generate the LDPC codeword.

In detail, the LDPC encoder 110 may perform the LDPC encoding on 6480input bits, that is, the LDPC information bits at the code rate of 6/15based on above Table 3 to generate 9720 LDPC parity bits and output theLDPC parity bits and the LDPC codeword including the LDPC parity bits.In this case, the LDPC codeword may be formed of 16200 bits.

As described above, the LDPC encoder 110 may encode the input bits atvarious code rates to generate the LDPC codeword formed of the inputbits and the LDPC parity bits.

The repeater 120 selects at least some bits from the LDPC codewordformed of the input bits and the LDPC parity bits, and adds the selectedbits after the input bits. That is, the repeater 120 adds at least somebits of the LDPC codeword after the input bits so that these bits aretransmitted while being repeated in the current frame, thereby repeatingthese bits in the LDPC codeword. Further, the repeater 120 may outputthe repeated LDPC codeword, that is, LDPC codeword bits including therepeated bits (alternatively referred to as an LDPC codeword withrepetition) to the puncturer 130.

In detail, the repeater 120 may select a predetermined number of bitsfrom the LDPC parity bits, and add the selected bits after the LDPCinformation bits. Therefore, the selected bits are repeated after theLDPC information bits and are positioned between the LDPC informationbits and the LDPC parity bits.

Therefore, since the predetermined number of bits within the LDPCcodeword may be repeated and additionally transmitted to the receiver200, the foregoing operation may be referred to as repetition. Further,the bits repeated in the LDPC codeword, that is, the bits added afterthe LDPC information bits depending on the repetition may be referred toas repetition bits or repeated bits.

For this purpose, the repeater 120 may calculate the number of bits tobe added, that is, the number of bits to be repeated based on the numberof bits other than padded zero bits, if any, in the input bits.

In detail, since, as described above, the input bits include the outerencoded bits and the padded zero bits, the repeater 120 may calculatethe number of bits to be repeated based on the bits other than the zerobits padded in the input bits, that is, the outer encoded bits.

That is, the repeater 120 may calculate the number of bits to berepeated based on the number of outer encoded bits. Here, when the outerencoding is performed by the BCH encoding, the repeater 120 maycalculate the number of bits to be repeated based on the number of BCHencoded bits.

In detail, the repeater 120 may calculate the number N_(repeat) ofrepetition bits, that is, the number of bits to be repeated, which areadditionally transmitted in the LDPC codeword with repetition based onfollowing Equation 8.N _(repeat)=2×└C×N _(outer) ┘+D  (8)

With respect to Equation 8, └x┘ represents a maximum integer which isnot greater than x, N_(outer) represents the number of outer-encodedbits. Here, when the outer encoding is performed by the BCH encoding,the N_(outer) represents the number of BCH encoded bits.

Further, C and D are a preset constant. For example, C may be a fixednumber and D may be an even integer.

For example, when N_(outer)=368, K_(sig)=200, K_(ldpc)=3240,N_(ldpc_parity)=12960, then C=0 and D=3672, and when N_(outer) is in arange of 568 to 2520, K_(sig) is in a ranged of 400 to 2352,K_(ldpc)=3240, N_(ldpc_parity)=12960, then C=61/16 and D=−508.

However, the information bits may not be outer-encoded, or may beencoded by an encoding scheme other than the BCH encoding. In this case,the repeater 120 may calculate the number of bits to be repeated basedon the number of information bits or the number of encoded bitsgenerated by the encoding scheme other than the BCH encoding.

Further, the repeater 120 may select bits as many as the calculatednumber from the LDPC parity bits and add the selected bits to the inputbits. That is, the repeater 120 may select bits as many as thecalculated number from the LDPC parity bits and add the selected bitsafter the LDPC information bits.

In detail, when the calculated number of bits is equal to or less thanthe number of LDPC parity bits, the repeater 120 may select bits as manyas the calculated number from a first LDPC parity bit and add theselected bits after the input bits.

That is, the repeater 120 may select LDPC parity bits as many as thecalculated number from a front portion of the LDPC parity bits and addthe selected bits after the input bits.

For example, when N_(repeat) is equal to or less than N_(ldpc_parity),that is, when N_(repeat)≤N_(ldpc_parity), as illustrated in FIG. 4 , therepeater 120 may select a first N_(repeat) bits (p₀, p₁, . . . , p_(N)_(repeat) ⁻¹) of LDPC parity bits (p₀, p₁, . . . , p_(N) _(ldpc) _(−K)_(ldpc) ⁻¹), and add the selected N_(repeat) bits after LDPC informationbits (i₀, i₁, . . . , i_(K) _(ldpc) ⁻¹).

Therefore, the first N_(repeat) bits of the LDPC parity bits are addedto the LDPC information bits later, and the N_(repeat) bits arepositioned between the LDPC information bits and the LDPC parity bitslike (i₀, i₁, . . . , i_(K) _(ldpc) ⁻¹, p₀, p₁, . . . , p_(N) _(repeat)⁻¹, p₀, p₁, . . . p_(N) _(ldpc) _(−K) _(ldpc) ⁻¹).

Meanwhile, when the calculated number of bits is greater than the numberof LDPC parity bits, the repeater 120 may select all the LDPC paritybits and add the selected LDPC parity bits as a part of repetition bitsafter the input bits, and additionally select bits as many as the numberobtained by subtracting the number of LDPC parity bits from thecalculated number of bits from the first LDPC parity bit and add theadditionally selected bits after the earlier added LDPC parity bits.

In this case, the repeater 120 may select bits as many as the numberobtained by subtracting the number of LDPC parity bits from thecalculated number of bits from the first LDPC parity bit of the existingLDPC parity bits, that is, the LDPC parity bits generated by the LDPCencoding, not from the LDPC parity bits added to the input bits, and addthe additionally selected bits after the earlier added LDPC parity bits.That is, the repeater 120 may select LDPC parity bits as many as thecalculated number from the front portion of the LDPC parity bitsgenerated by the LDPC encoding, and add the additionally selected bitsafter the earlier added LDPC parity bits.

For example, when N_(repeat) is greater than N_(ldpc_parity), that is,when N_(repeat)>N_(ldpc_parity), as illustrated in FIG. 5 , the repeater120 selects N_(ldpc_parity) LDPC parity bits (p₀, p₁, . . . , p_(N)_(ldpc) _(−K) _(ldpc) ⁻¹) and adds the selected N_(ldpc_parity) bits, asa part of repetition bits, after the LDPC information bits (i₀, i₁, . .. , i_(K) _(ldpc) ⁻¹). Further, the repeater 120 may additionally selectN_(repeat)−N_(ldpc_parity) bits (p₀, p₁, . . . , p_(N) _(repeat) _(−N)_(ldpc_parity) ⁻¹) from the first bit of the LDPC parity bits and addthe additionally selected N_(repeat)−N_(ldpc_parity) bits after theearlier added N_(ldpc_parity) LDPC parity bits.

Therefore, N_(ldpc_parity) LDPC parity bits may be added to the LDPCinformation bits and N_(repeat)−N_(ldpc_parity) bits from the first bitof the LDPC parity bits may be additionally added to the earlier addedN_(ldpc_parity) LDPC parity bits.

Therefore, N_(repeat) bits are positioned between the LDPC informationbits and the LDPC parity bits, like (i₀, i₁, . . . , i_(K) _(ldpc) ⁻¹,p₀, p₁, . . . , p_(N) _(ldpc) _(−K) _(ldpc) ⁻¹, p₀, p₁, . . . , p_(N)_(repeat) _(−N) _(ldpc_parity) ⁻¹, p₀, p₁, . . . , p_(N) _(ldpc) _(−K)_(ldpc) ⁻¹).

Meanwhile, the foregoing example describes that the repetition bits areadded after the input bits, which is only an example. According toanother exemplary embodiment, the repeater 120 may add the repetitionbits after the LDPC parity bits.

For example, when the N_(repeat) is equal to or less thanN_(ldpc_parity), that is, when N_(repeat)≤N_(ldpc_parity), asillustrated in FIG. 6 , the repeater 120 may select N_(repeat) bits (p₀,p₁, . . . , p_(N) _(repeat) ⁻¹) from the first bit of the LDPC paritybits (p₀, p₁, . . . , p_(N) _(ldpc) _(−K) _(ldpc) ⁻¹) and add theselected N_(repeat) bits after the LDPC parity bits.

Therefore, N_(repeat) bits of the LDPC parity bits are added to the LDPCparity bits and positioned after the LDPC parity bits like (i₀, i₁, . .. , i_(K) _(ldpc) ⁻¹, p₀, p₁, . . . , p_(N) _(ldpc) _(−K) _(ldpc) ⁻¹,p₀, p₁, . . . , p_(N) _(repeat) ⁻¹).

As another example, when N_(repeat) is greater than N_(ldpc_parity),that is, when N_(repeat)>N_(ldpc_parity), as illustrated in FIG. 7 , therepeater 120 selects N_(ldpc_parity) LDPC parity bits (p₀, p₁, . . . ,p_(N) _(ldpc) _(−K) _(ldpc) ⁻¹) and adds the selected N_(ldpc_parity)bits after LDPC parity bits. Further, the repeater 120 may additionallyselect N_(repeat)−N_(ldpc_parity) bits (p₀, p₁, . . . , p_(N) _(repeat)_(−N) _(ldpc_parity) ⁻¹) from the first bit of the LDPC parity bits andadd the additionally selected N_(repeat)-N_(ldpc_parity) bits after theearlier added N_(ldpc_parity) LDPC parity bits.

Therefore, N_(ldpc_parity) LDPC parity bits may be added to the LDPCparity bits as a part of repetition bits, and N_(repeat)−N_(ldpc_parity)bits of the LDPC parity bits may be additionally added as the other partof the repetition bits to the earlier added N_(ldpc_parity) LDPC paritybits.

Therefore, N_(repeat) bits like (i₀, i₁, . . . , p₀, p₁, . . . , p_(N)_(ldpc) _(−K) _(ldpc) ⁻¹, p₀, p₁, . . . , p_(N) _(ldpc) _(−K) _(ldpc)⁻¹, p₀, p₁, . . . , p_(N) _(repeat) _(−N) _(ldpc_parity) ⁻¹) arepositioned after the LDPC parity bits.

The foregoing example describes that bits are sequentially selected fromthe front portion of LDPC parity bits, which is only an example.According to another exemplary embodiment, the repeater 120 may selectbits from a back portion or a middle portion of the LDPC parity bits.

The foregoing example describes that bits are selected only from LDPCparity bits in an LDPC codeword formed of LDPC information bits and theLDPC parity bits, which is only an example. According to anotherexemplary embodiment, the repeater 120 may select bits from the LDPCinformation bits or some bits from the LDPC information bits and therest of the bits from the LDPC parity bits to generate the repetitionbits.

The puncturer 130 may puncture some bits from LDPC parity bits.

Here, the puncturing means that some of the LDPC parity bits are nottransmitted to the receiver 200. In this case, the puncturer 130 mayremove the punctured LDPC parity bits or output only the remaining bitsother than the punctured LDPC parity bits in the LDPC codeword.

In detail, the puncturer 130 may puncture a predetermined number of bitsat a back portion of the LDPC parity bits. That is, the puncturer 130may puncture the predetermined number of bits from a last bit of theLDPC parity bits. For example, the puncturer 130 may sequentiallypuncture N_(punc) bits from the last bit of the LDPC parity bits.

However, the puncturer 130 may not puncture the repeated LDPC paritybits but may puncture a predetermined number of bits from a last bit ofLDPC parity bits which are generated by LDPC encoding.

In detail, an LDPC codeword with repetition formed of LDPC informationbits, repeated LDPC parity bits, i.e., repetition bits, and LDPC paritybits generated by LDPC encoding, and the puncturer 130 may puncture notthe repetition bits but puncture a predetermined number of bits from thelast bit of the LDPC parity bits generated by the LDPC encoding.

That is, in the foregoing example, when N_(repeat) LDPC parity bits areadded by repetition, the puncturer 130 may puncture N_(punc) bits notfrom the N_(repeat) LDPC parity but from the last bit of N_(ldpc_parity)LDPC parity bits generated by the LDPC encoding.

Hereinafter, puncturing methods according to various exemplaryembodiments will be described with reference to the accompanying FIGS. 8to 11 .

First, as illustrated in FIG. 4 , it is assumed that N_(repeat) LDPCparity bits are added after LDPC information bits by repetition.

In this case, as illustrated in FIG. 8 , the puncturer 130 may punctureN_(punc) bits from a last bit of N_(ldpc_parity) LDPC parity bits.

Therefore, the number of LDPC parity bits in a repeated and puncturedLDPC codeword is N_(ldpc_parity)+N_(repeat)−N_(punc) and may berepresented by (p₀, p₁, . . . , p_(N) _(repeat) ⁻¹, p₀, p₁, . . . ,p_(N) _(ldpc) _(−K) _(ldpc) _(−N) _(punc) ⁻¹).

As another example, as illustrated in FIG. 5 , it is assumed thatN_(repeat) LDPC parity bits are added by repetition after LDPCinformation bits and before LDPC parity bits generated by LDPC encoding.

In this case, as illustrated in FIG. 9 , the puncturer 130 may punctureN_(punc) bits from a last bit of N_(ldpc_parity) LDPC parity bitsgenerated by the LDPC encoding.

Therefore, the number of LDPC parity bits in a repeated and puncturedLDPC codeword is N_(ldpc_parity)+N_(repeat)−N_(punc) and may berepresented by (p₀, p₁, . . . , p_(N) _(ldpc) _(−K) _(ldpc) ⁻¹, p₀, p₁,. . . , p_(N) _(repeat) _(−N) _(ldpc_parity) ⁻¹, p₀, p₁, p_(N) _(ldpc)_(−K) _(ldpc) _(−N) _(punc) ⁻¹).

As another example, as illustrated in FIG. 6 , it is assumed thatN_(repeat) LDPC parity bits are added by repetition after LDPC paritybits generated by LDPC encoding.

In this case, as illustrated in FIG. 10 , the puncturer 130 may punctureN_(punc) bits from a last bit of N_(ldpc_parity) LDPC parity bits.

Therefore, the number of LDPC parity bits in a repeated and puncturedLDPC codeword is N_(ldpc_parity)+N_(repeat)−N_(punc) and may berepresented by (p₀, p₁, . . . , p_(N) _(ldpc) _(−K) _(ldpc) _(−N)_(punc) ⁻¹, p₀, p₁, . . . , p_(N) _(repeat) ⁻¹).

As another example, as illustrated in FIG. 7 , it is assumed thatN_(repeat) LDPC parity bits are added by repetition after LDPC paritybits generated by LDPC encoding.

In this case, as illustrated in FIG. 11 , the puncturer 130 may punctureN_(punc) bits of from a last bit N_(ldpc_parity) LDPC parity bitsgenerated by LDPC encoding.

Therefore, the number of LDPC parity bits in a repeated and puncturedLDPC codeword is N_(ldpc_parity)+N_(repeat)−N_(punc) and may berepresented by (p₀, p₁, . . . , p_(N) _(ldpc) _(−K) _(ldpc) _(−N)_(punc) ⁻¹, p₀, p₁, p_(N) _(ldpc) _(−K) _(ldpc) ⁻¹, p₀, p₁, p_(N)_(repeat) _(−N) _(ldpc_parity) ⁻¹).

The foregoing example describes that repetition is performed, and then,puncturing is performed, which is only an example. According to anotherexemplary embodiment, an order of the repeater 120 and the puncturer 130may be changed according to a system.

For example, the puncturer 130 may perform puncturing while physicallydeleting bits from a memory but generally, since bit values physicallyremain in the memory for a predetermined operation period, the sameresults may be output even though the puncturing may be first appliedand the repeater 120 properly performs the repetition thereafter.

Meanwhile, the transmitter 100 may transmit a repeated and puncturedLDPC codeword to the receiver 200.

In detail, the transmitter 100 may modulate the repeated and puncturedLDPC codeword bits by QPSK, map the modulated bits to constellationsymbols, map the constellation symbols to a frame, and transmit theframe to the receiver 200.

According to an exemplary embodiment, when the LDPC encoder 110 performsLDPC encoding at a code rate of 3/15 based on above Table 1, therepeater 120 may perform repetition. In this case, the repeater 120 maycalculate N_(repeat) using C=0, D=3672 or C=61/16, D=−508 depending on aK_(sig) value and repeat the calculated N_(repeat) bits.

However, when the LDPC encoder 110 performs the LDPC encoding at a coderate of 6/15 based on above Table 3, the repetition may be omitted. Inthis case, the transmitter 100 may modulate a punctured LDPC codeword byQPSK, 16-quadrature amplitude modulation (16-QAM), 64-QAM, or 256-QAM,map the modulated LDPC codeword to constellation symbols, map theconstellation symbols to a frame, and transmit the frame to the receiver200.

Meanwhile, as described above, since the information bits are thesignaling including signaling information about data, the transmitter100 may map the data to the frame along with the signaling forprocessing the data and transmit the mapped data to the receiver 200.

In detail, the transmitter 100 may process the data in a specific schemeto generate the constellation symbols and map the generatedconstellation symbols to data symbols of each frame. Further, thetransmitter 100 may map the signaling for the data mapped to each frameto a preamble of the frame. For example, the transmitter 100 may map thesignaling including the signaling information for the data mapped to ani-th frame to the i-th frame.

As a result, the receiver 200 may use the signaling acquired from theframe to acquire and process the data from the frame.

One reason of performing the above-described repetition according to theexemplary embodiments is as follows.

The repetition may be used to acquire a diversity gain, but anadditional coding gain may not be acquired.

As a simple example, if a codeword having a predetermined length istransmitted using the repetition, a same signal is transmitted twice,and thus, an effect that an amplitude of a received signal becomestwice, that is, a 3 dB gain is obtained. In this case, since a codewordis transmitted at different times, a diversity gain is acquired.However, if an additional parity in addition to an original parityincluded in the codeword is generated and transmitted by a predeterminedlength, decoding complexity is slightly increased. Nonetheless, inaddition to the diversity gain, a coding gain is obtained. For thisreason, in terms of performance, instead of the repetition, a method fortransmitting an additional parity may be used.

According to the present exemplary embodiments, a method of transmittinginformation bits is performed such that a parity having a predeterminedlength is repeatedly transmitted, and at least a part of the parity ispunctured. This method can be implemented by a distribution of 1 withinthe sub-matrix C in the parity check matrix 20 illustrated in FIG. 2 .

In FIG. 2 , the sub-matrices B and D each are a parity matrix. In thesub-matrix B, except for one column, the number of is in each column istwo (2). The sub-matrix D has an identify matrix form in which thenumber of 1s is one (1) in all columns and rows. In this case, therepetition may be efficient or inefficient depending on the distributionof 1 in the sub-matrix C.

Generally, the identity matrix like the sub-matrix D means singleparity-check codes generating a single parity-check bit for bitscorresponding to the sub-matrix C in generating a parity. Since onesingle parity check bit does not have an error correction capability, itmay provide excellent performance only when a plurality of single paritycheck codes are concatenated with a channel code having a proper errorcorrection capability. Therefore, when a single parity check bit portionis punched, even though punched bits are additionally transmitted, itseffect may be insignificant if there is no appropriate connection with achannel code portion having the error correction capability.

For example, in FIG. 2 , parity bits corresponding to a front portion ofthe sub-matrix D are relatively in a stable connection with a partialparity check matrix formed of the sub-matrices A and B having the errorcorrection capability depending on the distribution of 1s in thesub-matrix C. On the other hand, in parity bits corresponding to a backportion of the sub-matrix D, the distribution of is directly connectedto the sub-matrices A and B depending on the distribution of is in thesub-matrix C is non-uniform. In this case, transmitting parity bitscorresponding to the sub-matrix B more stably connected or parity bitscorresponding to the front portion of the sub-matrix D by repetition mayprovide better performance than transmitting parity bits correspondingto the back portion of the sub-matrix D.

Thus, the repetition of parity bits using the parity check matrix 20 inwhich (A, B) and (C, D) are concatenated as illustrated in FIG. 2depending on the distribution of is in the sub-matrix C may providebetter performance.

The above description is described based on a simple example to helpbetter understanding of the present exemplary embodiments. A paritycheck matrix may be subdivided depending on the distribution of is inthe sub-matrix C, a length of repetition bits, and a length of puncturedparity bits and a density evolution analysis method is applied, therebyderiving a theoretical prediction value for a signal to noise (SNR)ratio which provides error free communication during a channel codingprocess and determining whether it is efficient to apply repetitionbased on the theoretically predicted SNR values. That is, a code towhich the repetition is to be applied and a code to which the repetitionis not to be applied are determined during the above process accordingto an applied channel coding.

The repetition is efficiently determined in a case of the code rate 3/15LDPC code corresponding to above Table 1, and thus, an appropriaterepetition method is applied, which includes a process of transmittingthe repetition bits and a process of puncturing parity bits. On theother hand, it is determined that the repetition is not efficient in acase of the code rate 6/15 LDPC code corresponding to above Table 3, andthus, the repetition may not be applied.

Meanwhile, according to an exemplary embodiment, the information bitsmay be implemented by L1-basic signaling and L1-detail signaling.Therefore, the transmitter 100 may perform the repetition on theL1-basic signaling and the L1-detail signaling by using the foregoingmethod and transmit these signalings to the receiver 200.

Here, the L1-basic signaling and the L1-detail signaling may besignaling defined in an Advanced Television System Committee (ATSC) 3.0standard.

In detail, there are seven (7) modes of processing the L1-basicsignaling. The transmitter 100 according to the exemplary embodimentsmay perform repetition according to the foregoing method when anL1-basic mode 1 of the seven modes processes the L1-basic signaling.

Further, there are seven modes of processing the L1-detail signaling isalso divided into seven (7). The transmitter 100 according to theexemplary embodiment may perform repetition according to the foregoingmethod when an L1-detail mode 1 of the 7 modes processes the L1-detailsignaling.

The transmitter 100 may process each of the L1-basic signaling and theL1-detail signaling in other modes using a specific scheme, in additionto the L1-basic mode 1 and the L1-detail mode 1, and transmit theprocessed signalings to the receiver 200.

A method for processing the L1-basic signaling and the L1-detailsignaling will be described below.

The transmitter 100 may map the L1-basic signaling and the L1-detailsignaling to a preamble of a frame and map data to data symbols of theframe, and transmit the frame to the receiver 200.

Referring to FIG. 12 , the frame may be configured of three parts, thatis, a bootstrap part, a preamble part, and a data part.

The bootstrap part is used for initial synchronization and provides abasic parameter required for the receiver 200 to decode the L1signaling. Further, the bootstrap part may include information about amode of processing the L1-basic signaling at the transmitter 100, thatis, information about a mode the transmitter 100 uses to process theL1-basic signaling.

The preamble part includes the L1 signaling, and may be configured oftwo parts, that is, the L1-basic signaling and the L1-detail signaling.

Here, the L1-basic signaling may include information about the L1-detailsignaling, and the L1-detail signaling may include information aboutdata. Here, the data is broadcasting data for providing broadcastingservices and may be transmitted through at least one physical layerpipes (PLPs).

In detail, the L1-basic signaling includes information required for thereceiver 200 to process the L1-detail signaling. This informationincludes, for example, information about a mode of processing theL1-detail signaling at the transmitter 100, that is, information about amode the transmitter 100 uses to process the L1-detail signaling,information about a length of the L1-detail signaling, information aboutan additional parity mode, that is, information about a K value used forthe transmitter 100 to generate additional parity bits using anL1B_L1_Detail_additional_parity_mode (here, when theL1B_L1_Detail_additional_parity_mode is set as ‘00’, K=0 and theadditional parity bits are not used), and information about a length oftotal cells. Further, the L1-basic signaling may include basic signalinginformation about a system including the transmitter 100 such as a fastFourier transform (FFT) size, a guard interval, and a pilot pattern.

Further, the L1-detail signaling includes information required for thereceiver 200 to decode the PLPs, for example, start positions of cellsmapped to data symbols for each PLP, PLP identifier (ID), a size of thePLP, a modulation scheme, a code rate, etc.

Therefore, the receiver 200 may acquire frame synchronization, acquirethe L1-basic signaling and the L1-detail signaling from the preamble,and receive service data required by a user from data symbols using theL1-detail signaling.

The method for processing the L1-basic signaling and the L1-detailsignaling will be described below in more detail with reference to theaccompanying drawings.

FIGS. 13 and 14 are block diagrams for describing a detailedconfiguration of a transmitter according to an exemplary embodiment.

In detail, as illustrated in FIG. 13 , to process the L1-basicsignaling, the transmitter 100 may include a scrambler 211, a BCHencoder 212, a zero padder 213, an LDPC encoder 214, a parity permutator215, a repeater 216, a puncturer 217, a zero remover 218, a bitdemultiplexer 219, and a constellation mapper 221.

Further, as illustrated in FIG. 14 , to process the L1-detail signaling,the transmitter 100 may include a segmenter 311, a scrambler 312, a BCHencoder 313, a zero padder 314, an LDPC encoder 315, a parity permutator316, a repeater 317, a puncturer 318, an additional parity generator319, a zero remover 321, bit demultiplexers 322 and 323, andconstellation mappers 324 and 325.

Here, the components illustrated in FIGS. 13 and 14 are components forperforming encoding and modulation on the L1-basic signaling and theL1-detail signaling, which is only one example. According to anotherexemplary embodiments, some of the components illustrated in FIGS. 13and 14 may be omitted or changed, and other components may also beadded. Further, positions of some of the components may be changed. Forexample, the positions of the repeaters 216 and 317 may be disposedafter the puncturers 217 and 318, respectively.

Meanwhile, the LDPC encoder 315, the repeater 317, and the puncturer 318illustrated in FIG. 14 may perform the operations performed by the LDPCencoder 110, the repeater 120, and the puncturer 130 illustrated in FIG.1 , respectively.

Meanwhile, in describing FIGS. 13 and 14 , for convenience, componentsfor performing common functions will be described together.

The L1-basic signaling and the L1-detail signaling may be protected byconcatenation of a BCH outer code and an LDPC inner code. However, thisis only one example. Therefore, as outer encoding performed before innerencoding in the concatenated coding, another encoding such as CRCencoding in addition to the BCH encoding may be used. Further, theL1-basic signaling and the L1-detail signaling may be protected only bythe LDPC inner code without the outer code.

First, the L1-basic signaling and the L1-detail signaling may bescrambled. Further, the L1-basic signaling and the L1-detail signalingare BCH encoded, and thus, BCH parity check bits of the L1-basicsignaling and the L1-detail signaling generated from the BCH encodingmay be added to the L1-basic signaling and the L1-detail signaling,respectively. Further, the concatenated signaling and the BCH paritycheck bits may be additionally protected by a shortened and punctured16K LDPC code.

Meanwhile, to provide various robustness level appropriate for a wideSNR range, a protection level of the L1-basic signaling and theL1-detail signaling may be divided into seven modes. That is, theprotection level of the L1-basic signaling and the L1-detail signalingmay be divided into the seven modes based on an LDPC code, a modulationorder, shortening/puncturing parameters (that is, a ratio of the numberof bits to be punctured to the number of bits to be shortened), and thenumber of bits to be basically punctured (that is, the number of bits tobe basically punctured when the number of bits to be shortened is 0). Ineach mode, at least one different combination of the LDPC code, themodulation order, the constellation, and the shortening/puncturingpattern may be used.

Meanwhile, by which mode the transmitter 100 processes the signaling maybe set in advance depending on a system. Therefore, the transmitter 100may determine parameters (for example, modulation and code rate (ModCod)for each mode, parameter for the BCH encoding, parameter for the zeropadding, shortening pattern, code rate/code length of the LDPC code,group-wise interleaving pattern, parameter for repetition, parameter forpuncturing, and modulation scheme, etc.) for processing the signalingdepending on the set mode, and may process the signaling based on thedetermined parameters and transmit the processed signaling to thereceiver 200. For this purpose, the transmitter 100 may pre-store theparameters for processing the signaling depending on the mode.

Modulation and code rate configurations (ModCod configurations) for theseven modes for processing the L1-basic signaling and the seven modesfor processing the L1-detail signaling are shown in following Table 4.The transmitter 100 may encode and modulate the signaling based on theModCod configurations defined in following Table 4 according to acorresponding mode. That is, the transmitter 100 may determine anencoding and modulation scheme for the signaling in each mode based onfollowing Table 4, and may encode and modulate the signaling accordingto the determined scheme. In this case, even when modulating the L1signaling by the same modulation scheme, the transmitter 100 may alsouse different constellations.

TABLE 4 Code Code Signaling FEC Type K_(sig) Length Rate ConstellationL1-Basic Mode 1 200 16200 3/15 QPSK Mode 2 (Type A) QPSK Mode 3 QPSKMode 4 NUC_16-QAM  Mode 5 NUC_64-QAM  Mode 6 NUC_256-QAM Mode 7NUC_256-QAM L1-Detail Mode 1 400-2352 QPSK Mode 2 400-3072 QPSK Mode 3400-6312 6/15 QPSK Mode 4 (Type B) NUC_16-QAM  Mode 5 NUC_64-QAM  Mode 6NUC_256-QAM Mode 7 NUC_256-QAM

Meanwhile, in above Table 4, K_(sig) represents the number ofinformation bits for a coded block. That is, since the L1 signaling bitshaving a length of K_(sig) are encoded to generate the coded block, alength of the L1 signaling in one coded block becomes K_(sig).Therefore, the L1 signaling bits having the size of K_(sig) may beconsidered as corresponding to one LDPC coded block.

Referring to above Table 4, the K_(sig) value for the L1-basic signalingis fixed to 200. However, since the amount of L1-detail signaling bitsvaries, the K_(sig) value for the L1-detail signaling varies.

In detail, in a case of the L1-detail signaling, the number of L1-detailsignaling bits varies, and thus, when the number of L1-detail signalingbits is greater than a preset value, the L1-detail signaling may besegmented to have a length which is equal to or less than the presetvalue.

In this case, each size of the segmented L1-detail signaling blocks(that is, segment of the L1-detail signaling) may have the K_(sig) valuedefined in above Table 4. Further, each of the segmented L1-detailsignaling blocks having the size of K_(sig) may correspond to one LDPCcoded block.

However, when the number of L1-detail signaling bits is equal to or lessthan the preset value, the L1-detail signaling is not segmented. In thiscase, the size of the L1-detail signaling may have the K_(sig) valuedefined in above Table 4. Further, the L1-detail signaling having thesize of K_(sig) may correspond to one LDPC coded block.

Hereinafter, a method for segmenting L1-detail signaling will bedescribed in detail.

The segmenter 311 segments the L1-detail signaling. In detail, since thelength of the L1-detail signaling varies, when the length of theL1-detail signaling is greater than the preset value, the segmenter 311may segment the L1-detail signaling to have the number of bits which areequal to or less than the preset value and output each of the segmentedL1-detail signalings to the scrambler 312.

However, when the length of the L1-detail signaling is equal to or lessthan the preset value, the segmenter 311 does not perform a separatesegmentation operation.

Meanwhile, a method for segmenting, by the segmenter 311, the L1-detailsignaling is as follows.

The amount of L1-detail signaling bits varies and mainly depends on thenumber of PLPs. Therefore, to transmit all bits of the L1-detailsignaling, at least one forward error correction (FEC) frame isrequired. Here, an FEC frame may represent a form in which the L1-detailsignaling is encoded, and thus, parity bits according to the encodingare added to the L1-detail signaling.

In detail, when the L1-detail signaling is not segmented, the L1-detailsignaling is BCH-encoded and LDPC encoded to generate one FEC frame, andtherefore, one FEC frame is required for the L1-detail signalingtransmission. On the other hand, when the L1-detail signaling issegmented into at least two, at least two segmented L1-detail signalingseach are BCH encoded and LDPC encoded to generate at least two FECframes, and therefore, at least two FEC frames are required for theL1-detail signaling transmission.

Therefore, the segmenter 311 may calculate the number N_(L1D_FECFRAME)of FEC frames for the L1-detail signaling based on following Equation 9.That is, the number N_(L1D_FECFRAME) of FEC frames for the L1-detailsignaling may be determined based on following Equation 9.

$\begin{matrix}{N_{L1{D\_ FECFRAME}} = \left\lceil \frac{K_{L1{D\_ ex}{\_ pad}}}{K_{seg}} \right\rceil} & (9)\end{matrix}$

In above Equation 9, represents a minimum integer which is equal to orgreater than x.

Further, K_(L1D_ex_pad) represents the length of the L1-detail signalingother than L1 padding bits as illustrated in FIG. 15 and may bedetermined by a value of an L1B_L1_Detail_size_bits field included inthe L1-basic signaling.

Further, K_(seg) represents a threshold number for segmentation definedbased on the number K_(ldpc) of information bits input to the LDPCencoder 315, that is, the LDPC information bits. Further, K_(seg) may bedefined based on the number of BCH parity check bits of a BCH code and amultiple value of 360.

Meanwhile, K_(seg) is determined such that, after the L1-detailsignaling is segmented, the number K_(sig) of information bits in thecoded block is set to be equal to or less than K_(ldpc)−M_(outer). Indetail, when the L1-detail signaling is segmented based on K_(seg),since the length of segmented L1-detail signaling does not exceedK_(seg), the length of the segmented L1-detail signaling is set to beequal to or less than K_(ldpc)−M_(outer) when K_(seg) is set like inTable 5 as following.

Here, M_(outer) and K_(ldpc) are as following Tables 6 and 7. Meanwhile,for sufficient robustness, the K_(seg) value for the L1-detail signalingmode 1 may be set to be K_(ldpc)−M_(outer)−720.

Meanwhile, K_(seg) for each mode of the L1-detail signaling may bedefined as following Table 5. In this case, the segmenter 311 maydetermine K_(seg) according to a corresponding mode as shown infollowing Table 5.

TABLE 5 L1-Detail K_(seg) Mode 1 2352 Mode 2 3072 Mode 3 6312 Mode 4Mode 5 Mode 6 Mode 7

Meanwhile, an entire L1-detail signaling may be formed of L1-detailsignaling and L1 padding bits.

In this case, the segmenter 311 may calculate a length of an L1_PADDINGfield for the L1-detail signaling, that is, the number L1D_PAD of the L1padding bits based on following Equation 10.

However, calculating K_(L1D_PAD) based on following Equation 10 is onlyone example. That is, the segmenter 311 may calculate the length of theL1_PADDING field for the L1-detail signaling, that is, the numberK_(L1D_PAD) of the L1 padding bits based on K_(L1D_ex_pad) andN_(L1D_FECFRAME) values. As one example, the K_(L1D_PAD) value may beobtained based on following Equation 10. That is, following Equation 10is only one example of a method for obtaining a K_(L1D_PAD) value, andthus, another method based on the K_(L1D_ex_pad) and N_(L1D_FECFRAME)values may be applied to obtain an equivalent result.

$\begin{matrix}{K_{L1{D\_ PAD}} = {{\left\lceil \frac{K_{L1{D\_ ex}{\_ pad}}}{\left( {N_{L1{D\_ FECFRAME}} \times 8} \right)} \right\rceil \times 8 \times N_{L1{D\_ FECFRAME}}} - K_{L1{D\_ ex}{\_ pad}}}} & (10)\end{matrix}$

Further, the segmenter 311 may fill the L1_PADDING field withK_(L1D_PAD) zero bits (that is, bits having a 0 value). Therefore, asillustrated in FIG. 15 , the K_(L1D_PAD) zero bits may be filled in theL1_PADDING field.

As such, by calculating the length of the L1_PADDING field and paddingzero bits of the calculated length to the L1_PADDING field, theL1-detail signaling may be segmented into the plurality of blocks formedof the same number of bits when the L1-detail signaling is segmented.

Next, the segmenter 311 may calculate a final length K_(ID) of theentire L1-detail signaling including the zero padding bits based onfollowing Equation 11.K _(L1D) =K _(L1D_ex_pad) +K _(L1D_PAD)  (11)

Further, the segmenter 311 may calculate the number K_(sig) ofinformation bits in each of the N_(L1D_FECFRAME) blocks based onfollowing Equation 12.

$\begin{matrix}{K_{sig} = \frac{K_{L1D}}{N_{L1{D\_ FECFRAME}}}} & (12)\end{matrix}$

Next, the segmenter 311 may segment the L1-detail signaling by thenumber of K_(sig) bits.

In detail, as illustrated in FIG. 15 , when the N_(L1D_FECFRAME) isgreater than 1, the segmenter 311 may segment the L1-detail signaling bythe number of K_(sig) bits to segment the L1-detail signaling into theN_(L1D_FECFRAME) blocks.

Therefore, the L1-detail signaling may be segmented intoN_(L1D_FECFRAME) blocks, and the number of L1-detail signaling bits ineach of the N_(L1D_FECFRAME) blocks may be K_(sig). Further, eachsegmented L1-detail signaling is encoded. As an encoded result, a codedblock, that is, an FEC frame is formed, such that the number ofL1-detail signaling bits in each of the N_(L1D_FECFRAME) coded blocksmay be K_(sig).

However, when the L1-detail signaling is not segmented,K_(sig)=K_(L1D_ex_pad).

Meanwhile, the segmented L1-detail signaling blocks may be encoded by afollowing procedure.

In detail, all bits of each of the L1-detail signaling blocks having thesize K_(sig) may be scrambled. Next, each of the scrambled L1-detailsignaling blocks may be encoded by concatenation of the BCH outer codeand the LDPC inner code.

In detail, each of the L1-detail signaling blocks is BCH-encoded, andthus M_(outer) (=168) BCH parity check bits may be added to the K_(sig)L1-detail signaling bits of each block, and then, the concatenation ofthe L1-detail signaling bits and the BCH parity check bits of each blockmay be encoded by a shortened and punctured 16K LDPC code. Meanwhile,the details of the BCH code and the LDPC code will be described below.However, the exemplary embodiments describe only a case in whichM_(outer)=168, but it is apparent that M_(outer) may be changed into anappropriate value depending on the requirements of a system.

The scramblers 211 and 312 scramble the L1-basic signaling and theL1-detail signaling, respectively. In detail, the scramblers 211 and 312may randomize the L1-basic signaling and the L1-detail signaling, andoutput the randomized L1-basic signaling and L1-detail signaling to theBCH encoders 212 and 313, respectively.

In this case, the scramblers 211 and 312 may scramble the informationbits by a unit of K_(sig).

That is, since the number of L1-basic signaling bits transmitted to thereceiver 200 through each frame is 200, the scrambler 211 may scramblethe L1-basic signaling bits by K_(sig) (=200).

Meanwhile, since the number of L1-basic signaling bits transmitted tothe receiver 200 through each frame varies, in some cases, the L1-detailsignaling may be segmented by the segmenter 311. Further, the segmenter311 may output the L1-detail signaling formed of K_(sig) bits or thesegmented L1-detail signaling blocks to the scrambler 312. As a result,the scrambler 312 may scramble the L1-detail signaling bits by everyK_(sig) which are output from the segmenter 311.

The BCH encoders 212 and 313 perform the BCH encoding on the L1-basicsignaling and the L1-detail signaling to generate the BCH parity checkbits.

In detail, the BCH encoders 212 and 313 may perform the BCH encoding onthe L1-basic signaling and the L1-detail signaling output from thescramblers 211 and 313, respectively, to generate the BCH parity checkbits, and output the BCH-encoded bits in which the BCH parity check bitsare added to each of the L1-basic signaling and the L1-detail signalingto the zero padders 213 and 314, respectively.

For example, the BCH encoders 212 and 313 may perform the BCH encodingon the input K_(sig) bits to generate the M_(outer) (that is,K_(sig)=K_(payload)) BCH parity check bits and output the BCH-encodedbits formed of N_(outer) (=K_(sig)+M_(outer)) bits to the zero padders213 and 314, respectively.

Meanwhile, the parameters for the BCH encoding may be defined asfollowing Table 6.

TABLE 6 K_(sig) = Signaling FEC Type K_(payload) M_(outer) N_(outer) =K_(sig) + M_(outer) L1-Basic Mode 1 200 168 368 Mode 2 Mode 3 Mode 4Mode 5 Mode 6 Mode 7 L1-Detail Mode 1 400-2352 568-2520 Mode 2 400~3072568~3240 Mode 3 400-6312 568-6480 Mode 4 Mode 5 Mode 6 Mode 7

Meanwhile, referring to FIGS. 13 and 14 , it may be appreciated that theLDPC encoders 214 and 315 may be disposed after the BCH encoders 212 and313, respectively.

Therefore, the L1-basic signaling and the L1-detail signaling may beprotected by the concatenation of the BCH outer code and the LDPC innercode.

In detail, the L1-basic signaling and the L1-detail signaling areBCH-encoded, and thus, the BCH parity check bits for the L1-basicsignaling are added to the L1-basic signaling and the BCH parity checkbits for the L1-detail signaling are added to the L1-detail signaling.Further, the concatenated L1-basic signaling and BCH parity check bitsare additionally protected by the LDPC code and the concatenatedL1-detail signaling and BCH parity check bits may be additionallyprotected by the LDPC code.

Here, it is assumed that the LDPC code is a 16K LDPC code, and thus, inthe BCH encoders 212 and 213, a systematic BCH code for N_(inner)=16200(that is, the code length of the 16K LDPC is 16200 and an LDPC codewordgenerated by the LDPC encoding may be formed of 16200 bits) may be usedto perform outer encoding of the L1-basic signaling and the L1-detailsignaling.

The zero padders 213 and 314 pad zero bits. In detail, for the LDPCcode, a predetermined number of LDPC information bits defined accordingto a code rate and a code length is required, and thus, the zero padders213 and 314 may pad zero bits for the LDPC encoding to generate thepredetermined number of LDPC information bits formed of the BCH-encodedbits and zero bits, and output the generated bits to the LDPC encoders214 and 315, respectively, when the number of BCH-encoded bits is lessthan the number of LDPC information bits. Meanwhile, when the number ofBCH-encoded bits is equal to the number of LDPC information bits, zerobits are not padded.

Here, zero bits padded by the zero padders 213 and 314 are padded forthe LDPC encoding, and therefore, the padded zero bits padded are nottransmitted to the receiver 200 by a shortening operation.

For example, when the number of LDPC information bits of the 16K LDPCcode is K_(ldpc), in order to form K_(ldpc) LDPC information bits, zerobits are padded.

In detail, when the number of BCH-encoded bits is N_(outer), the numberof LDPC information bits of the 16K LDPC code is K_(ldpc), andN_(outer)<K_(ldpc), the zero padders 213 and 314 may pad theK_(ldpc)−N_(outer) zero bits and use the N_(outer) BCH-encoded bits asthe remaining portion of the LDPC information bits to generate the LDPCinformation bits formed of K_(ldpc) bits. However, whenN_(outer)=K_(ldpc), zero bits are not padded.

For this purpose, the zero padders 213 and 314 may divide the LDPCinformation bits into a plurality of bit groups.

For example, the zero padders 213 and 314 may divide the K_(ldpc) LDPCinformation bits (i₀, i₁, . . . , i_(K) _(ldpc) ⁻¹) intoN_(info_group)(=K_(ldpc)/360) bit groups based on following Equation 13or 14. That is, the zero padders 213 and 314 may divide the LDPCinformation bits into the plurality of bit groups so that the number ofbits included in each bit group is 360.

$\begin{matrix}{Z_{i} = {{\left\{ {i_{k}{❘{{j = \left\lfloor \frac{k}{360} \right\rfloor},{0 \leq k < K_{ldpc}}}}} \right\}{for}0} \leq j < N_{into\_ group}}} & (13)\end{matrix}$Z _(j) ={i _(k)|360×j≤k<360×(j+1)} for 0≤j<N _(info_group)  (14)

In above Equations 13 and 14, Z_(j) represents a j-th bit group.

Meanwhile, parameters N_(outer), K_(ldpc), and N_(info_group) for thezero padding for the L1-basic signaling and the L1-detail signaling maybe defined as shown in following Table 7. In this case, the zero padders213 and 314 may determine parameters for the zero padding according to acorresponding mode as shown in following Table 7.

TABLE 7 Signaling FEC Type N_(outer) K_(ldpc) N_(info)_group L1-Basic368 3240 9 (all modes) L1-Detail Mode 1 568-2520 L1-Detail Mode 2568-3240 L1-Detail Mode 3 568-6480 6480 18 L1-Detail Mode 4 L1-DetailMode 5 L1-Detail Mode 6 L1-Detail Mode 7

Further, for 0≤j<N_(info_group), each bit group Z_(j) as shown in FIG.16 may be formed of 360 bits.

In detail, FIG. 16 illustrates a data format after the L1-basicsignaling and the L1-detail signaling each are LDPC-encoded. In FIG. 16, an LDPC FEC added to the K_(ldpc) LDPC information bits represents theLDPC parity bits generated by the LDPC encoding.

Referring to FIG. 16 , the K_(ldpc) LDPC information bits are dividedinto the N_(info_group) bits groups and each bit group may be formed of360 bits.

Meanwhile, when the number N_(outer)(=K_(sig)+M_(outer)) of BCH-encodedbits for the L1-basic signaling and the L1-detail signaling is less thanthe K_(ldpc), that is, N_(outer)(=K_(sig)+M_(outer))<K_(ldpc), for theLDPC encoding, the K_(ldpc) LDPC information bits may be filled with theN_(outer) BCH-encoded bits and the K_(ldpc)−N_(outer) zero-padded bits.In this case, the padded zero bits are not transmitted to the receiver200.

Hereinafter, a shortening procedure performed by the zero padders 213and 314 will be described in more detail.

The zero padders 213 and 314 may calculate the number of padded zerobits. That is, to fit the number of bits required for the LDPC encoding,the zero padders 213 and 314 may calculate the number of zero bits to bepadded.

In detail, the zero padders 213 and 314 may calculate a differencebetween the number of LDPC information bits and the number ofBCH-encoded bits as the number of padded zero bits. That is, for a givenN_(outer), the zero padders 213 and 314 may calculate the number ofpadded zero bits as K_(ldpc)−N_(outer).

Further, the zero padders 213 and 314 may calculate the number of bitgroups in which all the bits are padded. That is, the zero padders 213and 314 may calculate the number of bit groups in which all bits withinthe bit group are padded by zero bits.

In detail, the zero padders 213 and 314 may calculate the number N_(pa)aof groups to which all bits are padded based on following Equation 15 or16.

$\begin{matrix}{N_{pad} = \left\lfloor \frac{K_{ldpc} - N_{outer}}{360} \right\rfloor} & (15)\end{matrix}$ $\begin{matrix}{N_{pad} = \left\lfloor \frac{\left( {K_{ldpc} - M_{outer}} \right) - K_{sig}}{360} \right\rfloor} & (16)\end{matrix}$

Next, the zero padders 213 and 314 may determine bit groups in whichzero bits are padded among a plurality of bit groups based on ashortening pattern, and may pad zero bits to all bits within some of thedetermined bit groups and some bits within the remaining bit groups.

In this case, the shortening pattern of the padded bit group may bedefined as shown in following Table 8. In this case, the zero padders213 and 314 may determine the shortening pattern according to acorresponding mode as shown in following Table 8.

TABLE 8 Signaling FEC Type N_(info)_group π_(s)(j) (0 ≤ j <N_(info)_group) π_(s)(0)  π_(s)(1)  π_(s)(2)  π_(s)(3)  π_(s)(4) π_(s)(5)  π_(s)(6)  π_(s)(7)  π_(s)(8) π_(s)(9) π_(s)(10) π_(s)(11)π_(s)(12) π_(s)(13) π_(s)(14) π_(s)(15) π_(s)(16) π_(s)(17) L1-Basic 9 41 5 2 8 6 0 7 3 (for all modes) — — — — — — — — — L1-Detail Mode 1 7 8 54 1 2 5 3 0 — — — — — — — — — L1-Detail Mode 2 6 1 7 8 0 2 4 3 5 — — — —— — — — — L1-Detail Mode 3 18 0 12 15 13 2 5 7 9 8 6 16 10 14 1 17 11 43 L1-Detail Mode 4 0 15 5 16 17 1 6 13 11 4 7 12 8 14 2 3 9 10 L1-DetailMode 5 2 4 5 17 9 7 1 6 15 8 10 14 16 0 11 13 12 3 L1-Detail Mode 6 0 155 16 17 1 6 13 11 4 7 12 8 14 2 3 9 10 L1-Detail Mode 7 15 7 8 11 5 1016 4 12 3 0 6 9 1 14 17 2 13

Here, π_(s)(j) is an index of a j-th padded bit group. That is, theπ_(s)(j) represents a shortening pattern order of the j-th bit group.Further, N_(info_group) is the number of bit groups configuring the LDPCinformation bits.

In detail, the zero padders 213 and 314 may determine Z_(π) _(s) ₍₀₎,Z_(π) _(s) ₍₁₎, . . . , Z_(π) _(s) _((N) _(pad) ⁻¹⁾ as bit groups inwhich all bits within the bit group are padded by zero bits based on theshortening pattern, and pad zero bits to all bits of the bit groups.That is, the zero padders 213 and 314 may pad zero bits to all bits of aπ_(s)(0)-th bit group, a π_(s)(1)-th bit group, . . . aπ_(s)(N_(pad)−1)-th bit group among the plurality of bit groups based onthe shortening pattern.

As such, when N_(pad) is not 0, the zero padders 213 and 314 maydetermine a list of the N_(pad) bit groups, that is, Z_(π) _(s) ₍₀₎,Z_(π) _(s) ₍₁₎, . . . , Z_(π) _(s) _((N) _(pad) ⁻¹⁾ based on above Table8, and pad zero bits to all bits within the determined bit group.

However, when the N_(pad) is 0, the foregoing procedure may be omitted.

Meanwhile, since the number of all the padded zero bits isK_(ldpc)−N_(outer) and the number of zero bits padded to the N_(pad) bitgroups is 360λN_(pad), the zero padders 213 and 314 may additionally padzero bits to K_(ldpc)−N_(outer)−360×N_(pad) LDPC information bits.

In this case, the zero padders 213 and 314 may determine a bit group towhich zero bits are additionally padded based on the shortening pattern,and may additionally pad zero bits from a head portion of the determinedbit group.

In detail, the zero padders 213 and 314 may determine Z_(π) _(s) _((N)_(pad) ₎ as a bit group to which zero bits are additionally padded basedon the shortening pattern, and may additionally pad zero bits toK_(ldpc)−N_(outer)−360×N_(pad) bits positioned at the head portion ofZ_(π) _(s) _((N) _(pad) ₎. Therefore, K_(ldpc)−N_(outer)−360×N_(pad)zero bits may be padded from a first bit of the π_(s)(N_(pad))-th bitgroup.

As a result, for Z_(π) _(s) _((N) _(pad) ₎, zero bits may beadditionally padded to the K_(ldpc)−N_(bch)−360×N_(pad) bits positionedat the head portion of the Z_(π) _(s) _((N) _(pad) ₎.

Meanwhile, the foregoing example describes thatK_(ldpc)−N_(outer)−360×N_(pad) zero bits are padded from a first bit ofZ_(π) _(s) _((N) _(pad) ₎, which is only one example. Therefore, theposition at which zero bits are padded in Z_(π) _(s) _((N) _(pad) ₎ maybe changed. For example, K_(ldpc)−N_(outer)−360×N_(pad) zero bits may bepadded to a middle portion or a last portion of Z_(π) _(s) _((N) _(pad)₎ or may also be padded at any position of Z_(π) _(s) _((N) _(pad) ₎.

Next, the zero padders 213 and 314 may map the BCH-encoded bits to thepositions at which zero bits are not padded to configure the LDPCinformation bits.

Therefore, N_(outer) BCH-encoded bits are sequentially mapped to the bitpositions at which zero bits are not padded in the K_(ldpc) LDPCinformation bits (i₀, i₁, . . . , i_(K) _(ldpc) ⁻¹), and thus, K_(ldpc)LDPC information bits may be formed of N_(outer) BCH-encoded bits andK_(ldpc)−N_(outer) bits.

Meanwhile, the padded zero bits are not transmitted to the receiver 200.As such, a procedure of padding the zero bits or a procedure of paddingthe zero bits and then not transmitting the padded zero bits to thereceiver 200 may be called shortening.

The LDPC encoders 214 and 315 perform LDPC encoding on the L1-basicsignaling and the L1-detail signaling, respectively.

In detail, the LDPC encoders 214 and 315 may perform LDPC encoding onthe LDPC information bits output from the zero padders 213 and 31 togenerate LDPC parity bits, and output an LDPC codeword including theLDPC information bits and the LDPC parity bits to the parity permutators215 and 316, respectively.

That is, K_(ldpc) bits output from the zero padder 213 may includeK_(sig) L1-basic signaling bits, M_(outer) (=N_(outer)−K_(sig)) BCHparity check bits, and K_(ldpc)−N_(outer) padded zero bits, which mayconfigure K_(ldpc) LDPC information bits i=(i₀, i₁, . . . , i_(K)_(ldpc) ⁻¹) for the LDPC encoder 214.

Further, the K_(ldpc) bits output from the zero padder 314 may includethe K_(sig) L1-detail signaling bits, the M_(outer) (=N_(outer)−K_(sig))BCH parity check bits, and the (K_(ldpc)−N_(outer)) padded zero bits,which may configure the K_(ldpc) LDPC information bits i=(i₀, i₁, . . ., i_(K) _(ldpc) ⁻¹) for the LDPC encoder 315.

In this case, the LDPC encoders 214 and 315 may systematically performthe LDPC encoding on the K_(ldpc) LDPC information bits to generate anLDPC codeword Λ=(c₀, c₁, . . . , c_(N) _(inner) ⁻¹)=(i₀, i₁, . . . ,i_(K) _(ldpc) ⁻¹, p₀, p₁, . . . , p_(N) _(inner) _(−K) _(ldpc) ⁻¹)formed of N_(inner) bits.

Meanwhile, in the cases of the L1-basic modes and the L1-detail modes 1and 2, the LDPC encoders 214 and 315 may encode the L1-basic signalingand the L1-detail signaling at a code rate of 3/15 to generate 16200LDPC codeword bits. In this case, the LDPC encoders 214 and 315 mayperform the LDPC encoding based on above Table 1.

Further, in the cases of the L1-detail modes 3, 4, 5 6, and 7, the LDPCencoder 315 may encode the L1-detail signaling at a code rate of 6/15 togenerate the 16200 LDPC codeword bits. In this case, the LDPC encoder315 may perform the LDPC encoding based on above Table 3.

Meanwhile, the code rate and the code length for the L1-basic signalingand the L1-detail signaling are as shown in above Table 4, and thenumber of LDPC information bits are as shown in above Table 7.

The parity permutators 215 and 316 perform parity permutation. That is,the parity permutators 215 and 316 may perform permutation only on theLDPC parity bits among the LDPC information bits and the LDPC paritybits.

In detail, the parity permutators 215 and 316 may perform thepermutation only on the LDPC parity bits in the LDPC codewords outputfrom the LDPC encoders 214 and 315, and output the parity permutatedLDPC codewords to the repeaters 216 and 317, respectively. Meanwhile,the parity permutator 316 may output the parity permutated LDPC codewordto an additional parity generator 319. In this case, the additionalparity generator 319 may use the parity permutated LDPC codeword outputfrom the parity permutator 316 to generate additional parity bits.

For this purpose, the parity permutators 215 and 316 may include aparity interleaver (not illustrated) and a group-wise interleaver (notillustrated).

First, the parity interleaver may interleave only the LDPC parity bitsamong the LDPC information bits and the LDPC parity bits configuring theLDPC codeword. However, the parity interleaver may perform the parityinterleaving only in the cases of the L1-detail modes 3, 4, 5, 6 and 7.That is, since the L1-basic modes and the L1-detail modes 1 and 2include the parity interleaving as a portion of the LDPC encodingprocess, in the L1-basic modes and the L1-detail modes 1 and 2, theparity interleaver may not perform the parity interleaving.

Meanwhile, in the mode of performing the parity interleaving, the parityinterleaver may interleave the LDPC parity bits based on followingEquation 17.u _(i) =c _(i) for 0≤i<K _(ldpc)(information bits are not interleaved.)u _(K) _(ldpc) _(+360t+s) =c _(K) _(ldpc) _(+27s+t) for 0≤s<360,0≤t<27  (17)

In detail, based on above Equation 17, the LDPC codeword (c₀, c₁, . . ., c_(N) _(inner) ⁻¹) is parity-interleaved by the parity interleaver andan output of the parity interleaver may be represented by U=(u₀, u₁, . .. , u_(N) _(inner) ⁻¹).

Meanwhile, since the L1-basic modes and the L1-detail modes 1 and 2 donot use the parity interleaver, an output U=(u₀, u₁, . . . , u_(N)_(inner) ⁻¹) of the parity interleaver may be represented as followingEquation 18.u _(i) =c _(i) for 0≤i<N _(inner)  (18)

Meanwhile, the group-wise interleaver may perform group-wiseinterleaving on the output of the parity interleaver.

Here, as described above, the output of the parity interleaver may be anLDPC codeword parity-interleaved by the parity interleaver or may be anLDPC codeword which is not parity-interleaved by the parity interleaver.

Therefore, when the parity interleaving is performed, the group-wiseinterleaver may perform the group-wise interleaving on the parityinterleaved LDPC codeword, and when the parity interleaving is notperformed, the group-wise interleaver may perform the group-wiseinterleaving on the LDPC codeword which is not parity-interleaved.

In detail, the group-wise interleaver may interleave the output of theparity interleaver in a bit group unit.

For this purpose, the group-wise interleaver may divide an LDPC codewordoutput from the parity interleaver into a plurality of bit groups. As aresult, the LDPC parity bits output from the parity interleaver may bedivided into a plurality of bit groups.

In detail, the group-wise interleaver may divide the LDPC-encoded bits(u₀, u₁, . . . , u_(N) _(inner) ⁻¹) output from the parity interleaverinto N_(group)(=N_(inner)/360) bit groups based on following Equation19.X _(j) ={u _(k)|360×j≤k<360×(j+1),0≤k<N _(inner)} for 0≤j<N_(group)  (19)

In above Equation 19, X_(j) represents a j-th bit group.

FIG. 17 illustrates an example of dividing the LDPC codeword output fromthe parity interleaver into a plurality of bit groups.

Referring to FIG. 17 , the LDPC codeword is divided into theN_(group)(=N_(inner)/360) bit groups, and each bit group X_(j) for0≤j<N_(group) is formed of 360 bits.

As a result, the LDPC information bits formed of K_(ldpc) bits may bedivided into K_(ldpc)/360 bit groups and the LDPC parity bits formed ofN_(inner)−K_(ldpc) bits may be divided into N_(inner)−K_(ldpc)/360 bitgroups.

Further, the group-wise interleaver performs the group-wise interleavingon the LDPC codeword output from the parity interleaver.

In this case, the group-wise interleaver does not perform interleavingon the LDPC information bits, and may perform the interleaving only onthe LDPC parity bits to change the order of a plurality of bit groupsconfiguring the LDPC parity bits.

As a result, the LDPC information bits among the LDPC bits may not beinterleaved by the group-wise interleaver but the LDPC parity bits amongthe LDPC bits may be interleaved by the group-wise interleaver. In thiscase, the LDPC parity bits may be interleaved in a group unit.

In detail, the group-wise interleaver may perform the group-wiseinterleaving on the LDPC codeword output from the parity interleaverbased on following Equation 20.Y _(j) =X _(j),0≤j<K _(ldpc)/360Y _(j) =X _(πp(j)) ,K _(ldpc)/360≤j<N _(group)  (20)

Here, X_(j) represents a j-th bit group among the plurality of bitgroups configuring the LDPC codeword, that is, the j-th bit group whichis not group-wise interleaved, and Y_(j) represents the group-wiseinterleaved j-th bit group. Further, π_(p)(j) represents a permutationorder for the group-wise interleaving.

Meanwhile, the permutation order may be defined based on following Table9 and Table 10. Here, Table 9 shows a group-wise interleaving pattern ofa parity portion in the L1-basic modes and the L1-detail modes 1 and 2,and Table 10 shows a group-wise interleaving pattern of a parity portionfor the L1-detail modes 3, 4, 5, 6 and 7.

In this case, the group-wise interleaver may determine the group-wiseinterleaving pattern according to a corresponding mode shown infollowing Tables 9 and 10.

TABLE 9 Signaling Order of group-wise interleaving FEC Type N_(group)π_(p)(j) (9 ≤ j < 45)  π_(p)(9) π_(p)(10) π_(p)(11) π_(p)(12) π_(p)(13)π_(p)(14) π_(p)(15) π_(p)(16) π_(p)(17) π_(p)(18) π_(p)(19) π_(p)(20)π_(p)(21) π_(p)(22) π_(p)(23) π_(p)(24) π_(p)(25) π_(p)(26) π_(p)(27)π_(p)(28) π_(p)(29) π_(p)(30) π_(p)(31) π_(p)(32) π_(p)(33) π_(p)(34)π_(p)(35) π_(p)(36) π_(p)(37) π_(p)(38) π_(p)(39) π_(p)(40) π_(p)(41)π_(p)(42) π_(p)(43) π_(p)(44) L1-Basic 45 20 23 25 32 38 41 18 9 10 1131 24 (all modes) 14 15 26 40 33 19 28 34 15 39 27 30 21 44 43 35 42 3612 13 29 22 37 17 L1-Detail 16 22 27 30 37 44 20 23 25 32 38 41 Mode 1 910 17 18 21 33 35 14 28 12 15 19 11 24 29 34 36 13 40 43 31 26 39 42L1-Detail 9 31 23 10 11 25 43 29 35 16 27 34 Mode 2 26 18 37 16 13 17 3521 20 24 44 12 22 40 19 32 36 41 30 33 14 26 39 42

TABLE 10 Signaling Order of group-wise interleaving FEC Type N_(group)π_(p)(j) (18 ≤ j < 45) π_(p)(18) π_(p)(19) π_(p)(20) π_(p)(21) π_(p)(22)π_(p)(23) π_(p)(24) π_(p)(25) π_(p)(26) π_(p)(27) π_(p)(28) π_(p)(29)π_(p)(30) π_(p)(31) π_(p)(32) π_(p)(33) π_(p)(34) π_(p)(35) π_(p)(36)π_(p)(37) π_(p)(38) π_(p)(39) π_(p)(40) π_(p)(41) π_(p)(42) π_(p)(43)π_(p)(44) L1-Detail 45 19 37 30 42 23 44 27 40 21 34 25 32 29 24 Mode 326 35 39 20 18 43 31 36 36 22 33 28 41 L1-Detail 20 35 42 39 26 23 30 1828 37 32 27 44 43 Mode 4 41 40 38 35 34 33 31 29 25 24 22 21 19Lt-Detail 19 37 33 26 40 43 22 29 24 35 44 31 27 20 Mode 5 21 39 25 4234 18 32 38 23 30 28 36 41 Lt-Detail 20 35 42 39 26 23 30 18 28 37 32 2744 43 Mode 6 41 40 38 36 34 33 31 29 25 24 22 21 19 Lt-Detail 44 23 2933 24 28 21 27 42 18 22 31 32 37 Mode 7 43 30 25 35 20 34 39 36 19 41 4026 38

Hereinafter, for the group-wise interleaving pattern in the L1-detailmode 2 as an example, an operation of the group-wise interleaver will bedescribed.

In the L1-detail mode 2, the LDPC encoder 315 performs LDPC encoding on3240 LDPC information bits at a code rate of 3/15 to generate 12960 LDPCparity bits. In this case, an LDPC codeword may be formed of 16200 bits.

Meanwhile, each bit group is formed of 360 bits, and as a result theLDPC codeword formed of 16200 bits is divided into 45 bit groups.

Here, since the number of the LDPC information bits is 3240 and thenumber of the LDPC parity bits is 12960, a 0-th bit group to an 8-th bitgroup correspond to the LDPC information bits and a 9-th bit group to a44-th bit group correspond to the LDPC parity bits.

In this case, the group-wise interleaver does not perform interleavingon the bit groups configuring the LDPC information bits, that is, a 0-thbit group to a 8-th bit group based on above Equation 20 and Table 9,but may interleave the bit groups configuring the LDPC parity bits, thatis, a 9-th bit group to a 44-th bit group in a group unit to change anorder of the 9-th bit group to the 44-th bit group.

In detail, in the L1-detail mode 2 in above Table 9, above Equation 20may be represented like Y₀=X₀, Y₁=X₁, . . . , Y₇=X₇, Y₈=X₈,Y₉=X_(πp(9))=X₉, Y₁₀=X_(πp(10))=X₃₁, Y₁₁=X_(πp(11))=X₂₃, . . . ,Y₄₂=X_(πp(42))=X₂₉, Y₄₃=X_(πp(43))=X₃₉, Y₄₄=X_(πp(44))=X₄₂.

Therefore, the group-wise interleaver does not change an order of the0-th bit group to the 8-th bit group including the LDPC information bitsbut may change an order of the 9-th bit group to the 44-th bit groupincluding the LDPC parity bits.

In detail, the group-wise interleaver may change the order of the bitgroups from the 9-th bit group to the 44-th bit group so that the 9-thbit group is positioned at the 9-th position, the 31-th bit group ispositioned at the 10-th position, the 23-th bit group is positioned atthe 11-th position, . . . , the 28-th bit group is positioned at the42-th position, the 39-th bit group is positioned at the 43-th position,the 42-th bit group is positioned at the 44-th position.

Meanwhile, as described below, since the puncturers 217 and 318 performpuncturing from the last parity bit, the parity bit groups may bearranged in an inverse order of the puncturing pattern by the paritypermutation. That is, the first bit group to be punctured is positionedat the last bit group.

Meanwhile, the foregoing example describes that only the parity bits areinterleaved, which is only one example. That is, the parity permutators215 and 316 may also interleave the LDPC information bits. In this case,the parity permutators 215 and 316 may interleave the LDPC informationbits with identity and output the LDPC information bits having the sameorder before the interleaving so that the order of the LDPC informationbits is not changed.

The repeaters 216 and 317 may repeat at least some bits of the paritypermutated LDPC codeword at a position subsequent to the LDPCinformation bits, and output the repeated LDPC codeword, that is, theLDPC codeword bits including the repetition bits, to the puncturers 217and 318. Meanwhile, the repeater 317 may also output the repeated LDPCcodeword to the additional parity generator 319. In this case, theadditional parity generator 319 may use the repeated LDPC codeword togenerate the additional parity bits.

In detail, the repeaters 216 and 317 may repeat a predetermined numberof LDPC parity bits after the LDPC information bits. That is, therepeaters 216 and 317 may add the predetermined number of repeated LDPCparity bits after the LDPC information bits. Therefore, the repeatedLDPC parity bits are positioned between the LDPC information bits andthe LDPC parity bits within the LDPC codeword.

Therefore, since the predetermined number of bits within the LDPCcodeword after the repetition may be repeated and additionallytransmitted to the receiver 200, the foregoing operation may be referredto as repetition.

Meanwhile, the term “adding” represents disposing the repetition bitsbetween the LDPC information bits and the LDPC parity bits so that thebits are repeated.

The repetition may be performed only on the L1-basic mode 1 and theL1-detail mode 1, and may not be performed on the other modes. In thiscase, the repeaters 216 and 317 do not perform the repetition, and mayoutput the parity permutated LDPC codeword to the puncturers 217 and318.

Hereinafter, a method for performing repetition will be described inmore detail.

The repeaters 216 and 317 may calculate a number N_(repeat) of bitsadditionally transmitted per an LDPC codeword based on followingEquation 21.N _(repeat)=2×└C×N _(outer) ┘+D  (21)

In above Equation 21, C has a fixed number and D may be an even integer.Referring to above Equation 21, it may be appreciated that the number ofbits to be repeated may be calculated by multiplying C by a givenN_(outer) and adding D thereto.

Meanwhile, the parameters C and D for the repetition may be selectedbased on following Table 11. That is, the repeaters 216 and 317 maydetermine the C and D based on a corresponding mode as shown infollowing Table 11.

TABLE 11 N_(ldpc)_parity (=N_(inner) − N_(outer) K_(sig) K_(ldpc) C DK_(ldpc)) η_(MOD) L1-Basic 368 200 3240 0 3672 12960 2 Mode 1 L1-Detail568- 400- 3240 61/16 −508 12960 2 Mode 1 2520 2352

Further, the repeaters 216 and 317 may repeat N_(repeat) LDPC paritybits.

In detail, when N_(repeat)<N_(ldpc_parity), the repeaters 216 and 317may add first N_(repeat) bits of the parity permutated LDPC parity bitsto the LDPC information bits as illustrated in FIG. 18 . That is, therepeaters 216 and 317 may add a first LDPC parity bit among the paritypermutated LDPC parity bits as an N_(repeat)-th LDPC parity bit afterthe LDPC information bits.

Meanwhile, when N_(repeat)>N_(ldpc_parity), the repeaters 216 and 317may add the parity permutated N_(ldpc_parity) LDPC parity bits to theLDPC information bits as illustrated in FIG. 19 , and may additionallyadd an N_(repeat)−N_(ldpc_parity) number of the parity permutated LDPCparity bits to the N_(ldpc_parity) LDPC parity bits which are firstadded. That is, the repeaters 216 and 317 may add all the paritypermutated LDPC parity bits after the LDPC information bits andadditionally add the first LDPC parity bit to theN_(repeat)−N_(ldpc_parity)-th LDPC parity bit among the paritypermutated LDPC parity bits after the LDPC parity bits which are firstadded.

Therefore, in the L1-basic mode 1 and the L1-detail mode 1, theadditional N_(repeat) bits may be selected within the LDPC codeword andtransmitted.

The puncturers 217 and 318 may puncture some of the LDPC parity bitsincluded in the LDPC codeword output from the repeaters 216 and 317, andoutput a punctured LDPC codeword (that is, the remaining LDPC codewordbits other than the punctured bits and also referred to as an LDPCcodeword after puncturing) to the zero removers 218 and 321. Further,the puncturer 318 may provide information (for example, the number andpositions of punctured bits, etc.) about the punctured LDPC parity bitsto the additional parity generator 319. In this case, the additionalparity generator 319 may generate additional parity bits based thereon.

As a result, after going through the parity permutation, some LDPCparity bits may be punctured.

In this case, the punctured LDPC parity bits are not transmitted in aframe in which L1 signaling bits are transmitted. In detail, thepunctured LDPC parity bits are not transmitted in a current frame inwhich the L1-signaling bits are transmitted, and in some cases, thepunctured LDPC parity bits may be transmitted in a frame before thecurrent frame, which will be described with reference to the additionalparity generator 319.

For this purpose, the puncturers 217 and 318 may determine the number ofLDPC parity bits to be punctured per LDPC codeword and a size of onecoded block.

In detail, the puncturers 217 and 318 may calculate a temporary numberN_(punc_temp) of LDPC parity bits to be punctured based on followingEquation 22. That is, for a given N_(outer), the puncturers 217 and 318may calculate the temporary number N_(punc_temp) of LDPC parity bits tobe punctured based on following Equation 22N _(punc_temp) =└A×(K _(ldpc) −N _(outer))┘+B  (22)

Referring to above Equation 22, the temporary size of bits to bepunctured may be calculated by adding a constant integer B to an integerobtained from a result of multiplying a shortening length (that is,K_(ldpc)−N_(outer)) by a preset constant A value. In the presentexemplary embodiment, it is apparent that the constant A value is set ata ratio of the number of bits to be punctured to the number of bits tobe shortened but may be variously set according to requirements of asystem.

Here, the B value is a value which represents a length of bits to bepunctured even when the shortening length is 0, and thus, represents aminimum length that the punctured bits can have. Further, the A and Bvalues serve to adjust an actually transmitted code rate. That is, toprepare for a case in which the length of information bits, that is, thelength of the L1 signaling is short or a case in which the length of theL1 signaling is long, the A and B values serve to adjust the actuallytransmitted code rate to be reduced.

Meanwhile, the above K_(ldpc), A and B are listed in following Table 12which shows parameters for puncturing. Therefore, the puncturers 217 and318 may determine the parameters for puncturing according to acorresponding mode as shown in following Table 12.

TABLE 12 Signaling FEC Type N_(outer) K_(ldpc) A B N_(ldpc)_ parityη_(MOD) L1- Mode 1 368 3240 0 9360 12960 2 Basic Mode 2 11460 2 Mode 312360 2 Mode 4 12292 4 Mode 5 12350 6 Mode 6 12432 8 Mode 7 12776 8 L1-Mode 1 568-2520 7/2 0 2 Detail Mode 2 568~3240 2 6036 2 Mode 3 568-64806480 11/16 4653 9720 2 Mode 4 29/32 3200 4 Mode 5 3/4 4284 6 Mode 611/16 4900 8 Mode 7  49/256 8246 8

Meanwhile, the puncturers 217 and 318 may calculate a temporary sizeN_(FEC_temp) of one coded block as shown in following Equation 23. Here,the number N_(ldpc_parity) of LDPC parity bits according to acorresponding mode is shown as above Table 12.N _(FEC_temp) =N _(outer) +N _(ldpc_parity) −N _(punc_temp)  (23)

Further, the puncturers 217 and 318 may calculate a size N_(FEC) of onecoded block as shown in following Equation 24.

$\begin{matrix}{N_{FEC} = {\left\lceil \frac{N_{FEC\_ temp}}{\eta_{MOD}} \right\rceil \times \eta_{MOD}}} & (24)\end{matrix}$

In above Equation 24, η_(MOD) is a modulation order. For example, whenthe L1-basic signaling and the L1-detail signaling are modulated byQPSK, 16-QAM, 64-QAM or 256-QAM according to a corresponding mode,η_(MOD) may be 2, 4, 6 and 8 as shown in above Table 12. Meanwhile,according to above Equation 24, the N_(FE)c may be an integer multipleof the modulation order.

Further, the puncturers 217 and 318 may calculate the number N_(punc) ofLDPC parity bits to be punctured based on following Equation 25.N _(punc) =N _(punc_temp)−(N _(FEC) −N _(FEC_temp))  (25)

Here, N_(punc) is 0 or a positive integer. Further, N_(FEC) is thenumber of bits of an information block which are obtained by subtractingN_(punc) bits to be punctured from N_(outer)+N_(ldpc_parity) bitsobtained by performing the BCH encoding and the LDPC encoding on K_(sig)information bits. That is, N_(FEC) is the number of bits other than therepetition bits among the actually transmitted bits, and may be calledthe number of shortened and punctured LDPC codeword bits.

Referring to the foregoing process, the puncturers 217 and 318multiplies A by the number of padded zero bits, that is, a shorteninglength and adding B to a result to calculate the temporary numberN_(punc_temp) of LDPC parity bits to be punctured.

Further, the puncturers 217 and 318 calculate the temporary numberN_(FEC_temp) of LDPC codeword bits to constitute the LDPC codeword afterpuncturing and shortening based on the N_(punc_temp).

In detail, the LDPC information bits are LDPC-encoded, and the LDPCparity bits generated by the LDPC encoding are added to the LDPCinformation bits to configure the LDPC codeword. Here, the LDPCinformation bits include the BCH-encoded bits in which the L1-basicsignaling and the L1-detail signaling are BCH encoded, and in somecases, may further include padded zero bits.

In this case, since the padded zero bits are LDPC-encoded, and then, arenot transmitted to the receiver 200, the shortened LDPC codeword, thatis, the LDPC codeword (that is, shortened LDPC codeword) except thepadded zero bits may be formed of the BCH-encoded bits and LDPC paritybits.

Therefore, the puncturers 217 and 318 subtract the temporary number ofLDPC parity bits to be punctured from a sum of the number of BCH-encodedbits and the number of LDPC parity bits to calculate the N_(FEC_temp).

Meanwhile, the punctured and shortened LDPC codeword (that is, LDPCcodeword bits remaining after puncturing and shortening) are mapped toconstellation symbols by various modulation schemes such as QPSK,16-QAM, 64-QAM or 256-QAM according to a corresponding mode, and theconstellation symbols may be transmitted to the receiver 200 through aframe.

Therefore, the puncturers 217 and 318 determine the number N_(FEC) ofLDPC codeword bits to constitute the LDPC codeword after puncturing andshortening based on N_(FEC_temp), N_(FEC) being an integer multiple ofthe modulation order, and determine the number N_(punc) of bits whichneed to be punctured based on LDPC codeword bits after shortening toobtain the N_(FEC).

Meanwhile, when zero bits are not padded, an LDPC codeword may be formedof BCH-encoded bits and LDPC parity bits, and the shortening may beomitted.

Further, in the L1-basic mode 1 and the L1-detail mode 1, repetition isperformed, and thus, the number of shortened and punctured LDPC codewordbits is equal to N_(FEC)+N_(repeat).

Meanwhile, the puncturers 217 and 318 may puncture the LDPC parity bitsas many as the calculated number.

In this case, the puncturers 217 and 318 may puncture the last N_(punc)bits of all the LDPC codewords. That is, the puncturers 217 and 318 maypuncture the N_(punc) bits from the last LDPC parity bits.

In detail, when the repetition is not performed, the parity permutatedLDPC codeword includes only LDPC parity bits generated by the LDPCencoding.

In this case, the puncturers 217 and 318 may puncture the last N_(punc)bits of all the parity permutated LDPC codewords. Therefore, theN_(punc) bits from the last LDPC parity bits among the LDPC parity bitsgenerated by the LDPC encoding may be punctured.

Meanwhile, when the repetition is performed, the parity permutated andrepeated LDPC codeword includes the repeated LDPC parity bits and theLDPC parity bits generated by the LDPC encoding.

In this case, the puncturers 217 and 318 may puncture the last N_(punc)bits of all the parity permutated and repeated LDPC codewords,respectively, as illustrated in FIGS. 20 and 21 .

In detail, the repeated LDPC parity bits are positioned between the LDPCinformation bits and the LDPC parity bits generated by the LDPCencoding, and thus, the puncturers 217 and 318 may puncture the N_(punc)bits from the last LDPC parity bits among the LDPC parity bits generatedby the LDPC encoding, respectively.

As such, the puncturers 217 and 318 may puncture the N_(punc) bits fromthe last LDPC parity bits, respectively.

Meanwhile, N_(punc) is 0 or a positive integer and the repetition may beapplied only to the L1-basic mode 1 and the L1-detail mode 1.

The foregoing example describes that the repetition is performed, andthen, the puncturing is performed, which is only one example. In somecases, after the puncturing is performed, the repetition may beperformed.

The additional parity generator 319 may select bits from the LDPC paritybits to generate additional parity (AP) bits.

In this case, the additional parity bits may be selected from the LDPCparity bits generated based on the L1-detail signaling transmitted in acurrent frame, and transmitted to the receiver 200 through a framebefore the current frame, that is, a previous frame.

In detail, the L1-detail signaling is LDPC-encoded, and the LDPC paritybits generated by the LDPC encoding are added to the L1-detail signalingto configure an LDPC codeword.

Further, puncturing and shortening are performed on the LDPC codeword,and the punctured and shortened LDPC codeword may be mapped to a frameto be transmitted to the receiver 200. Here, when the repetition isperformed according to a corresponding mode, the punctured and shortenedLDPC codeword may include the repeated LDPC parity bits.

In this case, the L1-detail signaling corresponding to each frame may betransmitted to the receiver 200 through each frame, along with the LDPCparity bits. For example, the punctured and shortened LDPC codewordincluding the L1-detail signaling corresponding to an (i−1)-th frame maybe mapped to the (i−1)-th frame to be transmitted to the receiver 200,and the punctured and shortened LDPC codeword including the L1-detailsignaling corresponding to the i-th frame may be mapped to the i-thframe to be transmitted to the receiver 200.

Meanwhile, the additional parity generator 319 may select at least someof the LDPC parity bits generated based on the L1-detail signalingtransmitted in the i-th frame to generate the additional parity bits.

In detail, some of the LDPC parity bits generated by performing the LDPCencoding on the L1-detail signaling are punctured, and then, are nottransmitted to the receiver 200. In this case, the additional paritygenerator 319 may select at least some of the punctured LDPC parity bitsamong the LDPC parity bits generated by performing the LDPC encoding onthe L1-detail signaling transmitted in the i-th frame, therebygenerating the additional parity bits.

Further, the additional parity generator 319 may select at least some ofthe LDPC parity bits to be transmitted to the receiver 200 through thei-th frame to generate the additional parity bits.

In detail, the LDPC parity bits included in the punctured and shortenedLDPC codeword to be mapped to the i-th frame may be configured of onlythe LDPC parity bits generated by the LDPC encoding according to acorresponding mode or the LDPC parity bits generated by the LDPCencoding and the repeated LDPC parity bits.

In this case, the additional parity generator 319 may select at leastsome of the LDPC parity bits included in the punctured and shortenedLDPC codeword to be mapped to the i-th frame to generate the additionalparity bits.

Meanwhile, the additional parity bits may be transmitted to the receiver200 through the frame before the i-th frame, that is, the (i−1)-thframe.

That is, the transmitter 100 may not only transmit the punctured andshortened LDPC codeword including the L1-detail signaling correspondingto the (i−1)-th frame but also transmit the additional parity bitsgenerated based on the L1-detail signaling transmitted in the i-th frameto the receiver 200 through the (i−1)-th frame.

In this case, the frame in which the additional parity bits aretransmitted may be temporally the most previous frame among the framesbefore the current frame.

For example, the additional parity bits have the same bootstrapmajor/minor version as the current frame among the frames before thecurrent frame, and may be transmitted in temporally the most previousframe.

Meanwhile, in some cases, the additional parity generator 319 may notgenerate the additional parity bits.

In this case, the transmitter 100 may transmit information about whetheradditional parity bits for an L1-detail signaling of a next frame aretransmitted through the current frame to the receiver 200 using anL1-basic signaling transmitted through the current frame.

For example, the use of the additional parity bits for the L1-detailsignaling of the next frame having the same bootstrap major/minorversion as the current frame may be signaled through a fieldL1B_L1_Detail_additional_parity_mode of the L1-basic parameter of thecurrent frame. In detail, when the L1B_L1_Detail_additional_parity_modein the L1-basic parameter of the current frame is set to be ‘00’,additional parity bits for the L1-detail signaling of the next frame arenot transmitted in the current frame.

As such, to additionally increase robustness of the L1-detail signaling,the additional parity bits may be transmitted in the frame before thecurrent frame in which the L1-detail signaling of the current frame istransmitted.

FIG. 22 illustrates an example in which the additional parity bits forthe L1-detail signaling of the i-th frame are transmitted in a preambleof the (i−1) th frame.

FIG. 22 illustrates that the L1-detail signaling transmitted through thei-th frame is segmented into M blocks by segmentation and each of thesegmented blocks is FEC encoded.

Therefore, M number of LDPC codewords, that is, an LDPC codewordincluding LDPC information bits L1-D(i)_1 and parity bits parity forL1-D(i)_1 therefor, . . . , and an LDPC codeword including LDPCinformation bits L1-D(i)_M and parity bits parity for L1-D(i)_M thereforare mapped to the i-th frame to be transmitted to the receiver 200.

In this case, the additional parity bits generated based on theL1-detail signaling transmitted in the i-th frame may be transmitted tothe receiver 200 through the (i−1)-th frame.

In detail, the additional parity bits, that is, AP for L1-D(i)_1, . . .AP for L1-D(i)_M generated based on the L1-detail signaling transmittedin the i-th frame may be mapped to the preamble of the (i−1)-th frame tobe transmitted to the receiver 200. As a result of using the additionalparity bits, a diversity gain for the L1 signaling may be obtained.

Hereinafter, a method for generating additional parity bits will bedescribed in detail.

The additional parity generator 319 calculates a temporary numberN_(AP_temp) of additional parity bits based on following Equation 26.

$\begin{matrix}{{N_{AP\_ temp} = {\min\begin{Bmatrix}{0.5 \times K \times \left( {N_{outer} +} \right.} \\{\left. {N_{ldpc\_ parity} - N_{punc} + N_{repeat}} \right),} \\\left( {N_{ldpc\_ parity} + N_{punc} + N_{{repeat})}} \right.\end{Bmatrix}}},} & (26)\end{matrix}$ K = 0, 1, 2

In above Equation 26,

${\min\left( {a,b} \right)} = \left\{ {\begin{matrix}{a,{{{if}{}a} \leq b}} \\{b,{{{if}b} < a}}\end{matrix}.} \right.$

Further, K represents a ratio of the additional parity bits to a half ofa total number of bits of a transmitted coded L1-detail signaling block(that is, bits configuring the L1-detail signaling block repeated,punctured, and have the zero bits removed (that is, shortened)).

In this case, K corresponds to an L1B_L1_Detail_additional_parity_modefield of the L1-basic signaling. Here, a value of theL1B_L1_Detail_additional_parity_mode associated with the L1-detailsignaling of the i-th frame (that is, frame (#i)) may be transmitted inthe (i−1)-th frame (that is, frame (#i−1)).

Meanwhile, as described above, when L1 detail modes are 2, 3, 4, 5, 6and 7, since repetition is not performed, in above Equation 26,N_(repeat) is 0.

Further, the additional parity generator 319 calculates the numberN_(AP) of additional parity bits based on following Equation 27.Therefore, the number N_(AP) of additional parity bits may be a multipleof a modulation order.

$\begin{matrix}{N_{AP} = {\left\lfloor \frac{N_{AP\_ temp}}{\eta_{MOD}} \right\rfloor \times \eta_{MOD}}} & (27)\end{matrix}$

Here, └X┘ is a maximum integer which is not greater than x. Here,η_(MOD) is the modulation order. For example, when the L1-detailsignaling is modulated by QPSK, 16-QAM, 64-QAM or 256-QAM according to acorresponding mode, the η_(MOD) may be 2, 4, 6 or 8.

As such, the number of additional parity bits may be determined based onthe total number of bits transmitted in the current frame.

Next, the additional parity generator 319 may select bits as many as thenumber of bits calculated in the LDPC parity bits to generate theadditional parity bits.

In detail, when the number of punctured LDPC parity bits is equal to orgreater than the number of additional parity bits, the additional paritygenerator 319 may select bits as many as the calculated number from thefirst LDPC parity bit among the punctured LDPC parity bits to generatethe additional parity bits.

Meanwhile, when the number of punctured LDPC parity bits is less thanthe number of additional parity bits, the additional parity generator319 may first select all the punctured LDPC parity bits, andadditionally select bits as many as the number obtained by subtractingthe number of punctured LDPC parity bits from the number of additionalparity bits calculated, from the first LDPC parity bit among the LDPCparity bits included in the LDPC codeword, to generate the additionalparity bits.

In detail, when repetition is not performed, LDPC parity bits includedin a repeated LDPC codeword are the LDPC parity bits generated by theLDPC encoding.

In this case, the additional parity generator 319 may first select allthe punctured LDPC parity bits and additionally select bits as many asthe number obtained by subtracting the number of punctured LDPC paritybits from the number of additional parity bits calculated, from thefirst LDPC parity bit among the LDPC parity bits generated by the LDPCencoding, to generate the additional parity bits.

Here, the LDPC parity bits generated by the LDPC encoding are dividedinto non-punctured LDPC parity bits and punctured LDPC parity bits. As aresult, when the bits are selected from the first bit among the LDPCparity bits generated by the LDPC encoding, they may be selected in anorder of the non-punctured LDPC parity bits and the punctured LDPCparity bits.

Meanwhile, when the repetition is performed, the LDPC parity bitsincluded in the repeated LDPC codeword are the repeated LDPC parity bitsand the LDPC parity bits generated by the encoding. Here, the repeatedLDPC parity bits are positioned between the LDPC information bits andthe LDPC parity bits generated by the LDPC encoding.

In this case, the additional parity generator 319 may first select allthe punctured LDPC parity bits and additionally select bits as many asthe number obtained by subtracting the number of punctured LDPC paritybits from the number of additional parity bits calculated, from thefirst LDPC parity bit among the repeated LDPC parity bits to generatethe additional parity bits.

Here, when the bits are selected from the first bit among the repeatedLDPC parity bits, they may be selected in an order of the repetitionbits and the LDPC parity bits generated by the LDPC encoding. Further,the bits may be selected in an order of the non-punctured LDPC paritybits and the punctured LDPC parity bits, within the LDPC parity bitsgenerated by the LDPC encoding.

Hereinafter, methods for generating additional parity bits according toexemplary embodiments will be described in more detail with reference toFIGS. 23 to 25 .

FIGS. 23 to 25 are diagrams for describing the methods for generatingadditional parity bits when repetition is performed, according to theexemplary embodiments. In this case, a repeated LDPC codeword V=(v0, v1,. . . , v_(N) _(inner) _(+N) _(repeat) ⁻¹) may be represented asillustrated in FIG. 23 .

First, when N_(AP)≤N_(punc), as illustrated in FIG. 24 , the additionalparity generator 319 may select N_(AP) bits from the first LDPC paritybit among punctured LDPC parity bits to generate the additional paritybits.

Therefore, for the additional parity bits, the punctured LDPC paritybits (v_(N) _(repeat) _(+N) _(inner) _(−N) _(punc) , v_(N) _(repeat)_(+N) _(inner) _(−N) _(punc) ₊₁, . . . , v_(N) _(repeat) _(+N) _(inner)_(−N) _(punc) _(−N) _(AP) ⁻¹) may be selected. That is, the additionalparity generator 319 may select the N_(AP) bits from the first bit amongthe punctured LDPC parity bits to generate the additional parity bits.

Meanwhile, when N_(AP)>N_(punc), as illustrated in FIG. 25 , theadditional parity generator 319 selects all the punctured LDPC paritybits.

Therefore, for the additional parity bits, all the punctured LDPC paritybits (v_(N) _(repeat) _(+N) _(inner) _(−N) _(punc) , v_(N) _(repeat)_(+N) _(inner) _(−N) _(punc) ₊₁, v_(N) _(repeat) _(+N) _(inner) ⁻¹) maybe selected.

Further, the additional parity generator 319 may additionally selectfirst N_(AP)−N_(punc) bits from the LDPC parity bits including therepeated LDPC parity bits and the LDPC parity bits generated by the LDPCencoding.

That is, since the repeated LDPC parity bits and the LDPC parity bitsgenerated by the LDPC encoding are sequentially arranged, the additionalparity generator 319 may additionally select the N_(AP)−N_(punc) paritybits from the first LDPC parity bit among the repeated LDPC parity bits.

Therefore, for the additional parity bits, the LDPC parity bits (v_(K)_(ldpc) , v_(K) _(ldpc) ₊₁, . . . , v_(K) _(ldpc) _(+N) _(AP) _(−N)_(punc) ⁻¹) may be additionally selected.

In this case, the additional parity generator 319 may add theadditionally selected bits to the previously selected bits to generatethe additional parity bits. That is, as illustrated in FIG. 25 , theadditional parity generator 319 may add the additionally selected LDPCparity bits to the punctured LDPC parity bits to generate the additionalparity bits.

As a result, for the additional parity bits, (v_(N) _(repeat) _(+N)_(inner) _(−N) _(punc) , v_(N) _(repeat) _(+N) _(inner) _(−N) _(punc)₊₁, . . . , v_(N) _(repeat) _(+N) _(inner) ⁻¹, v_(K) _(ldpc) , v_(K)_(ldpc) ₊₁, . . . , v_(K) _(ldpc) _(+N) _(AP) _(−N) _(punc) ⁻¹) may beselected.

As such, when the number of punctured bits is equal to or greater thanthe number of additional parity bits, the additional parity bits may begenerated by selecting bits among the punctured bits based on thepuncturing order. On the other hand, in other cases, the additionalparity bits may be generated by selecting all the punctured bits and theN_(AP)-N_(punc) parity bits.

Meanwhile, since N_(repeat)=0 when repetition is not performed, themethod for generating additional parity bits when the repetition is notperformed is the same as the case in which N_(repeat)=0 in FIGS. 23 to25 .

The additional parity bits may be bit-interleaved, and may be mapped tothe constellation. In this case, the constellation for the additionalparity bits may be generated by the same method as the constellation forthe L1-detail signaling bits transmitted in the current frame, in whichthe L1-detail signaling bits are repeated, punctured, and have the zerobits removed. Further, as illustrated in FIG. 22 , after being mapped tothe constellation, the additional parity bits may be added after theL1-detail signaling block in the frame before the current frame in whichthe L1-detail signaling of the current frame is transmitted.

The additional parity generator 319 may output the additional paritybits to a bit demultiplexer 323.

Meanwhile, as described above in reference to Tables 9 and 10, thegroup-wise interleaving pattern defining the permutation order may havetwo patterns: a first pattern and a second pattern.

In detail, since the B value of above Equation 22 represents the minimumlength of the LDPC parity bits to be punctured, the predetermined numberof bits may be always punctured depending on the B value regardless ofthe length of the input signaling. For example, in the L1-detail mode 2,since B=6036 and the bit group is formed of 360 bits, even when theshortening length is 0, at least

$\left\lfloor \frac{6036}{360} \right\rfloor = 16$bit groups are always punctured.

In this case, since the puncturing is performed from the last LDPCparity bit, the predetermined number of bit groups from a last bit groupamong the plurality of bit groups configuring the group-wise interleavedLDPC parity bits may be always punctured regardless of the shorteninglength.

For example, in the L1-detail mode 2, the last 16 bit groups among 36bit groups configuring the group-wise interleaved LDPC parity bits maybe always punctured.

As a result, some of the group-wise interleaving patterns defining thepermutation order represent bit groups always to punctured, andtherefore, the group-wise interleaving pattern may be divided into twopatterns. In detail, a pattern defining the remaining bit groups otherthan the bit groups always to be punctured in the group-wiseinterleaving pattern is referred to as the first pattern, and thepattern defining the bit groups always to be punctured is referred to asthe second pattern.

For example, in the L1-detail mode 2, since the group-wise interleavingpattern is defined as above Table 9, a pattern representing indexes ofbit groups which are not group-wise interleaved and positioned in a 9-thbit group to a 28-th bit group after group-wise interleaving, that is,Y₉=X_(πp(9))=X₉, Y₁₀=X_(πp(10))==X₃₁, Y₁₁=X_(πp(11))==X₂₃, . . . ,Y₂₆=X_(πp(26))=X₁₇, Y₂₇=X_(πp(27))=X₃₅, Y₂₈=X_(πp(28))=X₂₁ may be thefirst pattern, and a pattern representing indexes of bit groups whichare not group-wise interleaved and positioned in a 29-th bit group to a44-th bit group after group-wise interleaving, that is,Y₂₉=X_(πp(29))=X₂₀, Y₃₀=X_(πp(30))=X₂₄, Y₃₁=X_(πp(31))=X₄₄, . . . ,Y₄₂=X_(πp(42))=X₂₈, Y₄₃=X_(πp(43))=X₃₉, Y₄₄=X_(πp(44))=X₄₂ may be thesecond pattern.

Meanwhile, as described above, the second pattern defines bit groupsalways to be punctured in a current frame regardless of the shorteninglength, and the first pattern defines bit groups additionally to bepunctured as the shortening length is long, such that the first patternmay be used to determine the LDPC parity bits transmitted in the currentframe after the puncturing.

In detail, according to the number of LDPC parity bits to be punctured,in addition to the LDPC parity bits always to be punctured, more LDPCparity bits may additionally be punctured.

For example, in the L1-detail mode 2, when the number of LDPC paritybits to be punctured is 7200, 20 bit groups need to be punctured, andthus, four (4) bit groups need to be additionally punctured, in additionto the 16 bit groups always to be punctured.

In this case, the additionally punctured four (4) bit groups correspondto the bit groups positioned at 25-th to 28-th positions aftergroup-wise interleaving, and since these bit groups are determinedaccording to the first pattern, that is, belong to the first pattern,the first pattern may be used to determine the punctured bit groups.

That is, when LDPC parity bits are punctured more than a minimum valueof LDPC parity bits to be punctured, which bit groups are to beadditionally punctured is determined according to which bit groups arepositioned after the bit groups always to be punctured. As a result,according to a puncturing direction, the first pattern which defines thebit groups positioned after the bit groups always to be punctured may beconsidered as determining the punctured bit groups.

That is, as in the foregoing example, when the number of LDPC paritybits to be punctured is 7200, in addition to the 16 bit groups always tobe punctured, four (4) bit groups, that is, the bit groups positioned at28-th, 27-th, 26-th, and 25-th positions, after group-wise interleavingis performed, are additionally punctured. Here, the bit groupspositioned at 25-th to 28-th positions after the group-wise interleavingare determined according to the first pattern.

As a result, the first pattern may be considered as being used todetermine the bit groups to be punctured. Further, the remaining LDPCparity bits other than the punctured LDPC parity bits are transmittedthrough the current frame, and therefore, the first pattern may beconsidered as being used to determine the bit groups transmitted in thecurrent frame.

Meanwhile, the second pattern may be used only to determine theadditional parity bits transmitted in the previous frame.

In detail, since the bit groups determined as to be always punctured arealways punctured, and then, are not transmitted in the current frame,these bit groups need to be positioned only where bits are alwayspunctured after group-wise interleaving. Therefore, it is not importantat which position of these bit groups are positioned therebetween.

For example, in the L1-detail mode 2, bit groups positioned at 20-th,24-th, 44-th, . . . , 28-th, 39-th and 42-th positions before thegroup-wise interleaving need to be positioned only at a 29-th bit groupto a 44-th bit group after the group-wise interleaving. Therefore, it isnot important at which positions of these bit groups are positioned.

As such, the second pattern defining bit groups always to be puncturedis used only to identify bit groups to be punctured. Therefore, definingan order between the bit groups in the second pattern is meaningless inthe puncturing, and thus, the second pattern defining bit groups alwaysto be punctured may be considered as not being used for the puncturing.

However, for determining additional parity bits, positions of the bitgroups always to be punctured within these bit groups are considered.

In detail, since the additional parity bits are generated by selectingbits as many as a predetermined number from the first bit among thepunctured LDPC parity bits, bits included in at least some of the bitgroups always to be punctured may be selected as at least some of theadditional parity bits depending on the number of punctured LDPC paritybits and the number of additional parity bits.

That is, when the additional parity bits are selected beyond the bitgroup defined according to the first pattern, since the additionalparity bits are sequentially selected from a start portion of the secondpattern, the order of the bit groups belonging to the second pattern ismeaningful in terms of selection of the additional parity bits. As aresult, the second pattern defining a bit group always to be puncturedmay be considered as being used to determine the additional parity bits.

For example, in the L1-detail mode 2, the total number of LDPC paritybits is 12960 and the number of bit groups always to be punctured is 16.

In this case, the second pattern may be used to generate the additionalparity bits depending on whether a value obtained by subtracting thenumber of LDPC parity bits to be punctured from the number of all LDPCparity bits and adding the subtraction result to the number ofadditional parity bits exceeds 7200. Here, 7200 is the number of LDPCparity bits included in the remaining bit groups, other than the bitgroups always to be punctured, among the bit groups configuring the LDPCparity bits. That is, 7200=(36−16)×360.

In detail, when the value obtained by the above subtraction and additionis equal to or less than 7200, that is, 12960−N_(punc)+N_(AP)≤7200, theadditional parity bits may be generated according to the first pattern.

However, when the value obtained by the above subtraction and additionexceeds 7200, that is, 12960−N_(punc)+N_(AP)>7200, the additional paritybits may be generated according to the first pattern and the secondpattern.

In detail, when 12960−N_(punc)+N_(AP)>7200, for the additional paritybits, bits included in the bit group positioned at a 28-th position fromthe first LDPC parity bit among the punctured LDPC parity bits may beselected, and bits included in the bit group positioned at apredetermined position from a 29-th position may be selected.

Here, the bit group to which the first LDPC parity bit among thepunctured LDPC parity bits belongs and the bit group (that a bit groupto which the finally selected LDPC parity bits belong when beingsequentially selected from the first LDPC parity bit among the puncturedLDPC parity bits) at the predetermined position may be determinedaccording to the number of LDPC parity bits to be punctured and thenumber of additional parity bits.

In this case, the bit group positioned at a 28-th position from thefirth LDPC parity bit among the punctured LDPC parity bits is determinedaccording to the first pattern, and the bit group positioned at apredetermined position from a 29-th position is determined according tothe second pattern.

As a result, the additional parity bits are determined according to thefirst pattern and the second pattern.

As such, the first pattern may be used to determine additional paritybits as well as LDPC parity bits to be punctured, but the second patternmay be used to determine only the additional parity bits.

Meanwhile, the foregoing example describes that the group-wiseinterleaving pattern includes the first pattern and the second pattern,which is only for convenience of explanation in terms of the puncturingand the additional parity. That is, the group-wise interleaving patternmay be considered as one pattern without being divided into the firstpattern and the second pattern. In this case, the group-wiseinterleaving may be considered as being performed with one pattern bothfor the puncturing and the additional parity.

Meanwhile, the values used in the foregoing example such as the numberof punctured LDPC parity bits are only example values.

The zero removers 218 and 321 may remove zero bits padded by the zeropadders 213 and 314 from the LDPC codewords output from the puncturers217 and 318, and output the remaining bits to the bit demultiplexers 219and 322.

Here, the removal does not only remove the padded zero bits but also mayinclude outputting the remaining bits other than the padded zero bits inthe LDPC codewords.

In detail, the zero removers 218 and 321 may remove K_(ldpc)−N_(outer)zero bits padded by the zero padders 213 and 314. Therefore, theK_(ldpc)−N_(outer) padded zero bits are removed, and thus, may not betransmitted to the receiver 200.

For example, as illustrated in FIG. 26 , it is assumed that all bits ofa first bit group, a fourth bit group, a fifth bit group, a seventh bitgroup, and an eighth bit group among a plurality of bit groupsconfiguring an LDPC codeword are padded by zero bits, and some bits ofthe second bit group are padded by zero bits.

In this case, the zero removers 218 and 321 may remove the zero bitspadded to the first bit group, the second bit group, the fourth bitgroup, the fifth bit group, the seventh bit group, and the eighth bitgroup.

As such, when zero bits are removed, as illustrated in FIG. 26 , an LDPCcodeword formed of K_(sig) information bits (that is, K_(sig) L1-basicsignaling bits and K_(sig) L1-detail signaling bits), 168 BCH paritycheck bits (that is, BCH FEC), and N_(inner)−K_(ldpc)−N_(punc) orN_(inner)−K_(ldpc)−N_(punc)+N_(repeat) parity bits may remain.

That is, when repetition is performed, the lengths of all the LDPCcodewords become N_(FEC)+N_(repeat). Here,N_(FEC)=N_(outer)+N_(ldpc_parity)−N_(punc). However, in a mode in whichthe repetition is not performed, the lengths of all the LDPC codewordsbecome N_(FEC).

The bit demultiplexers 219 and 322 may interleave the bits output fromthe zero removers 218 and 321, demultiplex the interleaved bits, andthen output them to the constellation mappers 221 and 324.

For this purpose, the bit demultiplexers 219 and 322 may include a blockinterleaver (not illustrated) and a demultiplexer (not illustrated).

First, a block interleaving scheme performed in the block interleaver isillustrated in FIG. 27 .

In detail, the bits of the N_(FEC) or N_(FEC)+N_(repeat) length afterthe zero bits are removed may be column-wisely serially written in theblock interleaver. Here, the number of columns of the block interleaveris equivalent to the modulation order and the number of rows isN_(FEC)/η_(MOD) or (N_(FEC)+N_(repeat))/η_(MOD).

Further, in a read operation, bits for one constellation symbol may besequentially read in a row direction to be input to the demultiplexer.The operation may be continued to the last row of the column.

That is, the N_(FEC) or (N_(FEC)+N_(repeat)) bits may be written in aplurality of columns in a column direction from the first row of thefirst column, and the bits written in the plurality of columns aresequentially read from the first row to the final row of the pluralityof columns in a row direction. In this case, the bits read in the samerow may configure one modulation symbol.

Meanwhile, the demultiplexer may demultiplex the bits output from theblock interleaver.

In detail, the demultiplexer may demultiplex each of theblock-interleaved bit groups, that is, the bits output while being readin the same row of the block interleaver within the bit groupbit-by-bit, before the bits are mapped to constellation.

In this case, two mapping rules may be present according to themodulation order.

In detail, when QPSK is used for modulation, since reliability of bitswithin a constellation symbol is the same, the demultiplexer does notperform the demultiplexing operation on a bit group. Therefore, the bitgroup read and output from the block interleaver may be mapped to a QPSKsymbol without the demultiplexing operation.

However, when high order modulation is used, the demultiplexer mayperform demultiplexing on a bit group read and output from the blockinterleaver based on following Equation 28. That is, a bit group may bemapped to a QAM symbol depending on following Equation 28.S _(demux_in(i)) ={b _(i)(0),b _(i)(1),b _(i)(2), . . . ,b_(i)(η_(MOD)−1)},S _(demux_out(i)) ={c _(i)(0),c _(i)(1),c _(i)(2), . . . ,c_(i)(η_(MOD)−1)},c _(i)(0)=b _(i)(i%η_(MOD)),c _(i)(1)=b _(i)(i+1)%η_(MOD)), . . . ,c_(i)(η_(MOD)−1)=b _(i)((i+η _(MOD)−1)%η_(MOD))  (28)

In above Equation 28, % represents a modulo operation, and η_(MOD) is amodulation order.

Further, i is a bit group index corresponding to a row index of theblock interleaver. That is, an output bit group S_(demux_out(i)) mappedto each of the QAM symbols may be cyclic-shifted in an S_(demux_in(i))according to the bit group index i.

Meanwhile, FIG. 28 illustrates an example of performing bitdemultiplexing on 16-non uniform constellation (16-NUC), that is, NUC16-QAM. The operation may be continued until all bit groups are read inthe block interleaver.

Meanwhile, the bit demultiplexer 323 may perform the same operation, asthe operations performed by the bit demultiplexers 219 and 322, on theadditional parity bits output from the additional parity generator 319,and output the block-interleaved and demultiplexed bits to theconstellation mapper 325.

The constellation mappers 221, 324 and 325 may map the bits output fromthe bit demultiplexers 219, 322 and 323 to constellation symbols,respectively.

That is, each of the constellation mappers 221, 324 and 325 may map theS_(demux_out(i)) to a cell word using constellation according to acorresponding mode. Here, the S_(demux_out(i)) may be configured of bitshaving the same number as the modulation order.

In detail, the constellation mappers 221, 324 and 325 may map bitsoutput from the bit demultiplexers 219, 322 and 323 to constellationsymbols using QPSK, 16-QAM, 64-QAM, the 256-QAM, etc., according to acorresponding mode.

In this case, the constellation mappers 221, 324 and 325 may use theNUC. That is, the constellation mappers 221, 324 and 325 may use NUC16-QAM, NUC 64-QAM or NUC 256-QAM. Meanwhile, the modulation schemeapplied to the L1-basic signaling and the L1-detail signaling accordingto a corresponding mode is shown in above Table 4.

Meanwhile, the transmitter 100 may map the constellation symbols to aframe and transmit the mapped symbols to the receiver 200.

In detail, the transmitter 100 may map the constellation symbolscorresponding to each of the L1-basic signaling and the L1-detailsignaling output from the constellation mappers 221 and 324, and map theconstellation symbols corresponding to the additional parity bits outputfrom the constellation mapper 325 to a preamble symbol of a frame.

In this case, the transmitter 100 may map the additional parity bitsgenerated based on the L1-detail signaling transmitted in the currentframe to a frame before the corresponding frame.

That is, the transmitter 100 may map the LDPC codeword bits includingthe L1-basic signaling corresponding to the (i−1)-th frame to the(i−1)-th frame, maps the LDPC codeword bits including the L1-detailsignaling corresponding to the (i−1)-th frame to the (i−1)-th frame, andadditionally map the additional parity bits generated selected from theLDPC parity bits generated based on the L1-detail signalingcorresponding to the i-th frame to the (i−1)-th frame and may transmitthe mapped bits to the receiver 200.

In addition, the transmitter 100 may map data to the data symbols of theframe in addition to the L1 signaling and transmit the frame includingthe L1 signaling and the data to the receiver 200.

In this case, since the L1 signalings include signaling informationabout the data, the signaling about the data mapped to each data may bemapped to a preamble of a corresponding frame. For example, thetransmitter 100 may map the L1 signaling including the signalinginformation about the data mapped to the i-th frame to the i-th frame.

As a result, the receiver 200 may use the signaling obtained from theframe to receive the data from the corresponding frame for processing.

Meanwhile, the foregoing example describes that the repeaters 120, 216and 317 calculate the number of bits to be repeated based on aboveEquations 8 and 21, which is only an example. The repeaters 120, 216 and317 may calculate the number of bits to be repeated by various othermethods. Hereinafter, it is assumed that K_(ldpc)=3240,N_(ldpc_parity)=12960 and η_(MOD)=2.

For example, the repeaters 120, 216 and 317 may calculate the numberN_(repeat) of LDPC parity bits additionally transmitted per LDPCcodeword based on following Equation 29 or 30.

$\begin{matrix}{N_{repeat} = {{\eta_{MOD} \times \left\lfloor \frac{C \times N_{outer}}{\eta_{MOD}} \right\rfloor} + D}} & (29)\end{matrix}$ $\begin{matrix}{N_{repeat} = {{\eta_{MOD} \times \left\lfloor \frac{C \times K_{sig}}{\eta_{MOD}} \right\rfloor} + D^{\prime}}} & (30)\end{matrix}$

Here, C may have a fixed value, and D and D′ may be integer constants,respectively (in detail, even number).

Referring to Equations 29 and 30, according to a corresponding mode, thenumber of bits to be repeated may be calculated by multiplying C andadding D or D′.

For example, the parameters C, D and D′ values for the repetition areC=61/8, D=−508 and D′=772.

Further, the repeaters 120, 216 and 317 may calculate a size N_(FEC_REP)of one coded block based on following Equation 31.N _(FEC_REP) =N _(FEC) +N _(repeat)  (31)

If a length of a BCH encoded L1-detail signaling is fixed as 2N_(A),above Equation 29 may be represented like following Equation 32, andabove Equation 30 may be represented like following Equation 33.N _(repeat)=2×└N _(A) ×C┘+D  (32)

$\begin{matrix}{N_{repeat} = {{2 \times \left\lfloor {\left( {N_{A} - \frac{M_{outer}}{2}} \right) \times C} \right\rfloor} + D}} & (33)\end{matrix}$

Here, for example, if a length of an L1-detail signaling is fixed as200, above Equation 32 may be represented like following Equation 34,and above Equation 33 may be represented like following Equation 35.N _(repeat)=2×└184×C┘+D  (34)N _(repeat)=2×└100×C┘+D′  (35)

As a result, when η_(MOD) is 2, above Equation 34 may be representedlike following Equation 36, and above Equation 35 may be representedlike following Equation 37.N _(repeat)=2×└C′×N _(outer) +D  (36)N _(repeat)=2×└C′×K _(sig) ┘+D′  (37)

In this case, the parameters C′ (=C/2), D and D′ values for therepetition are C′=61/16, D=−508 and D′=772.

Meanwhile, if the length of the BCH encoded L1-detail signaling is fixedas 2N_(A), above Equation 32 may be represented like following Equation38, and above Equation 33 may be represented like following Equation 39.N _(repeat)=2×└2N _(A) ×C′┘+D′  (38)N _(repeat)=2×└(2N _(A)−168)×C′┘+D′  (39)

Here, for example, if the length of the L1-detail signaling is fixed as200, above Equation 38 may be represented like following Equation 40,and above Equation 39 may be represented like following Equation 41.N _(repeat)=2×└368×C′┘+D  (40)N _(repeat)=2×└200×C′┘+D′  (41)

As a result, when η_(MOD) is 2 and C is E/2^(m) (here, E and m arepositive integers, respectively), above Equation 40 may be representedlike following Equation 42, and above Equation 41 may be representedlike following Equation 43.

$\begin{matrix}{N_{repeat} = {{{2 \times \left\lfloor {C^{\prime} \times N_{outer}} \right\rfloor} + D} = {{2 \times \left\lfloor {\frac{E}{2^{m + 1}} \times N_{outer}} \right\rfloor} + D}}} & (42)\end{matrix}$ $\begin{matrix}{N_{repeat} = {{{2 \times \left\lfloor {C^{\prime} \times K_{sig}} \right\rfloor} + D^{\prime}} = {{2 \times \left\lfloor {\frac{E}{2^{m + 1}} \times K_{sig}} \right\rfloor} + D^{\prime}}}} & (43)\end{matrix}$

As another example, the repeaters 120, 216 and 317 may calculate thenumber N_(repeat) of LDPC parity bits additionally transmitted per LDPCcodeword based on following Equation 44 or 45.

$\begin{matrix}{N_{repeat} = {\eta_{MOD} \times \left\lfloor \frac{\left\lfloor {C \times N_{outer}} \right\rfloor + D}{\eta_{MOD}} \right\rfloor}} & (44)\end{matrix}$ $\begin{matrix}{N_{repeat} = {\eta_{MOD} \times \left\lfloor \frac{\left\lfloor {C \times K_{sig}} \right\rfloor + D^{\prime}}{\eta_{MOD}} \right\rfloor}} & (45)\end{matrix}$

Here, C may have a fixed value, and D and D′ may be integers,respectively.

Referring to Equations 44 and 45, according to a corresponding mode, thenumber of bits to be repeated may be calculated by multiplying C andadding D or D′.

For example, the parameters C, D and D′ values for the repetition areC=61/16, D=−508 and D′=772. Here, C may be equal to E/2^(m) (E and m arepositive integers, respectively).

Further, the repeaters 120, 216 and 317 may calculate the sizeN_(FEC_REP) of one coded block based on following Equation 46.N _(FEC_REP) =N _(FEC) +N _(repeat)  (46)

As another example, the repeaters 120, 216 and 317 may calculate thenumber N_(repeat) of LDPC parity bits additionally transmitted per LDPCcodeword based on following Equation 47 or 48.

$\begin{matrix}{N_{repeat} = {{\eta_{MOD} \times \left\lfloor \frac{C \times N_{outer}}{\eta_{MOD}} \right\rfloor} + D}} & (47)\end{matrix}$ $\begin{matrix}{N_{repeat} = {\eta_{MOD} \times \left\lfloor \frac{{C \times N_{outer}} + D^{\prime}}{\eta_{MOD}} \right\rfloor}} & (48)\end{matrix}$

Here, C may have a fixed value, and D and D′ may be integers,respectively.

Referring to Equations 47 and 48, according to a corresponding mode, thenumber of bits to be repeated may be calculated by multiplying C andadding D or D′.

For example, the parameters C, D and D′ values for the repetition areC=61/16, D=−508 and D′=772. Here, C may be equal to E/2^(m) (E and m arepositive integers, respectively).

Further, the repeaters 120, 216, and 317 may calculate the sizeN_(FEC_REP) of one coded block based on following Equation 49.N _(FEC_REP) =N _(FEC) +N _(repeat)  (49)

As another example, the repeaters 120, 216 and 317 may calculate thenumber N_(repeat) of LDPC parity bits additionally transmitted per theLDPC codeword based on following Equation 50, 51, 52 or 53.

$\begin{matrix}{N_{repeat} = {{\eta_{MOD} \times \left\lfloor \frac{C \times N_{outer}}{\eta_{MOD}} \right\rfloor} + D}} & (50)\end{matrix}$ $\begin{matrix}{N_{repeat} = {{\eta_{MOD} \times \left\lfloor {C^{\prime} \times N_{outer}} \right\rfloor} + D}} & (51)\end{matrix}$ $\begin{matrix}{N_{repeat} = {{\eta_{MOD} \times \left\lfloor \frac{\left\lfloor {C \times K_{sig}} \right\rfloor}{\eta_{MOD}} \right\rfloor} + D^{\prime}}} & (52)\end{matrix}$ $\begin{matrix}{N_{repeat} = {{\eta_{MOD} \times \left\lfloor {C^{\prime} \times K_{sig}} \right\rfloor} + D^{\prime}}} & (53)\end{matrix}$

Here, C may have a fixed value, and D and D′ may be integers,respectively.

Referring to above Equations 50 to 53, according to a correspondingmode, the number of bits to be repeated may be calculated by multiplyingC and adding D or D′, and D or D′ may be a multiple of common multipleof η_(MOD).

For example, when η_(MOD)=2, 4 and 6, D or D′ may be a multiple of 12,and when η MOD=2, 4, 6 and 8, D or D′ may be a multiple of 24.

For example, the parameters C, C′, D and D′ values for the repetitionare C=61/8, C′=61/16, D=−504 and D′=768.

Further, the repeaters 120, 216 and 317 may calculate the sizeN_(FEC_REP) of one coded block based on following Equation 54.N _(FEC_REP) =N _(FEC) +N _(repeat)  (54)

Meanwhile, various repetition methods will be additionally describedbelow.

For example, it is assumed that N_(repeat)≥N_(punc) andN_(repeat)≤N_(ldpc_parity). In this case, the repeaters 120, 216 and 317may select N_(repeat) bits from the LDPC parity bits as illustrated inFIG. 29 , and may add the selected N_(repeat) bits after the LDPC paritybits from which N_(punc) bits are removed by puncturing.

As another example, it is assumed that N_(repeat)≤N_(punc) andN_(repeat)<N_(ldpc_parity). In this case, the repeaters 120, 216 and 317may select N_(repeat) bits from the LDPC parity bits which are notpunctured as illustrated in FIG. 30 , and may add the selectedN_(repeat) bits after the LDPC parity bits from which N_(punc) bits areremoved by puncturing.

As another example, it is assumed that N_(repeat)>N_(ldpc_parity). Inthis case, the repeaters 120, 216 and 317 may select all the LDPC paritybits and N_(repeat)−N_(ldpc_parity) LDPC parity bits from the LDPCparity bits which are not punctured as illustrated in FIG. 31 , and mayadd the selected N_(repeat) bits after the LDPC parity bits from whichN_(punc) bits are removed by the puncturing.

As such, according to various exemplary embodiments, LDPC codeword bitsmay be repeated by various methods.

FIGS. 32 and 33 are block diagrams for describing a configuration of areceiver according to an exemplary embodiment.

In detail, as illustrated in FIG. 32 , the receiver 200 may include aconstellation demapper 2510, a multiplexer 2520, a Log Likelihood Ratio(LLR) inserter 2530, an LLR combiner 2540, a parity depermutator 2550,an LDPC decoder 2560, a zero remover 2570, a BCH decoder 2580, and adescrambler 2590 to process the L1-basic signaling.

Further, as illustrated in FIG. 33 , the receiver 200 may includeconstellation demappers 2611 and 2612, multiplexers 2621 and 2622, anLLR inserter 2630, an LLR combiner 2640, a parity depermutator 2650, anLDPC decoder 2660, a zero remover 2670, a BCH decoder 2680, adescrambler 2690, and a desegmenter 2695 to process the L1-detailsignaling.

Here, the components illustrated in FIGS. 32 and 33 are componentsperforming functions corresponding to the functions of componentsillustrated in FIGS. 13 and 14 , respectively, which is only an example,and in some cases, some of the components may be omitted and changed andother components may be added.

The receiver 200 may acquire frame synchronization using a bootstrap ofa frame and receive L1-basic signaling from a preamble of the frameusing information for processing the L1-basic signaling included in thebootstrap.

Further, the receiver 200 may receive L1-detail signaling from thepreamble using information for processing the L1-detail signalingincluded in the L1-basic signaling, and receive broadcasting datarequired by a user from data symbols of the frame using the L1-detailsignaling.

Therefore, the receiver 200 may determine a mode of used at thetransmitter 100 to process the L1-basic signaling and the L1-detailsignaling, and process a signal received from the transmitter 100according to the determined mode to receive the L1-basic signaling andthe L1-detail signaling. For this purpose, the receiver 200 maypre-store information about parameters used at the transmitter 100 toprocess the signaling according to corresponding modes.

As such, the L1-basic signaling and the L1-detail signaling may besequentially acquired from the preamble. In describing FIGS. 32 and 33 ,components performing common functions will be described together forconvenience of explanation.

The constellation demappers 2510, 2611 and 2612 demodulate a signalreceived from the transmitter 100.

In detail, the constellation demappers 2510, 2611 and 2612 arecomponents corresponding to the constellation mappers 221, 324 and 325of the transmitter 100, respectively, and may demodulate the signalreceived from the transmitter 100 and generate values corresponding tobits transmitted from the transmitter 100.

That is, as described above, the transmitter 100 maps an LDPC codewordincluding the L1-basic signaling and the LDPC codeword including theL1-detail signaling to the preamble of a frame, and transmits the mappedLDPC codeword to the receiver 200. Further, in some cases, thetransmitter 100 may map additional parity bits to the preamble of aframe and transmit the mapped bits to the receiver 200.

As a result, the constellation demappers 2510 and 2611 may generatevalues corresponding to the LDPC codeword bits including the L1-basicsignaling and the LDPC codeword bits including the L1-detail signaling.Further, the constellation demapper 2612 may generate valuescorresponding to the additional parity bits.

For this purpose, the receiver 200 may pre-store information about amodulation scheme used by the transmitter 100 to modulate the L1-basicsignaling, the L1-detail signaling, and the additional parity bitsaccording to corresponding modes. Therefore, the constellation demappers2510, 2611 and 2612 may demodulate the signal received from thetransmitter 100 according to the corresponding modes to generate valuescorresponding to the LDPC codeword bits and the additional parity bits.

Meanwhile, the value corresponding to a bit transmitted from thetransmitter 100 is a value calculated based on probability that areceived bit is 0 and 1, and instead, the probability itself may also beused as a value corresponding to each bit. The value may also be aLikelihood Ratio (LR) or an LLR value as another example.

In detail, an LR value may represent a ratio of probability that a bittransmitted from the transmitter 100 is 0 and probability that the bitis 1, and an LLR value may represent a value obtained by taking a log onprobability that the bit transmitted from the transmitter 100 is 0 andprobability that the bit is 1.

Meanwhile, it is described that the foregoing example uses the LR valueor the LLR value, which is only one example. According to anotherexemplary embodiment, the received signal itself rather than the LR orLLR value may also be used.

The multiplexers 2520, 2621 and 2622 perform multiplexing on LLR valuesoutput from the constellation demappers 2510, 2611 and 2612.

In detail, the multiplexers 2520, 2621 and 2622 are componentscorresponding to the bit demultiplexers 219, 322 and 323 of thetransmitter 100, and may perform operations corresponding to theoperations of the bit demultiplexers 219, 322 and 323, respectively.

For this purpose, the receiver 200 may pre-store information aboutparameters used for the transmitter 100 to perform demultiplexing andblock interleaving. Therefore, the multiplexers 2520, 2621 and 2622 mayreversely perform the demultiplexing and block interleaving operationsof the bit demultiplexers 219, 322 and 323 on the LLR valuecorresponding to a cell word to multiplex the LLR value corresponding tothe cell word in a bit unit.

The LLR inserters 2530 and 2630 may insert LLR values for the puncturingand shortening bits into the LLR values output from the multiplexers2520 and 2621, respectively. In this case, the LLR inserters 2530 and2630 may insert predetermined LLR values between the LLR values outputfrom the multiplexers 2520 and 2621 or a head portion or an end portionthereof.

In detail, the LLR inserters 2530 and 2630 are components correspondingto the zero removers 218 and 321 and the puncturers 217 and 318 of thetransmitter 100, respectively, and may perform operations correspondingto the operations of the zero removers 218 and 321 and the puncturers217 and 318, respectively.

First, the LLR inserters 2530 and 2630 may insert LLR valuescorresponding to zero bits into a position where the zero bits in anLDPC codeword are padded. In this case, the LLR values corresponding tothe padded zero bits, that is, the shortened zero bits may be ∞ or −∞.However, ∞ or −∞ are a theoretical value but may actually be a maximumvalue or a minimum value of the LLR value used in the receiver 200.

For this purpose, the receiver 200 may pre-store information aboutparameters and/or patterns used for the transmitter 100 to pad the zerobits according to corresponding modes. Therefore, the LLR inserters 2530and 2630 may determine positions where the zero bits in the LDPCcodewords are padded according to the corresponding modes, and insertthe LLR values corresponding to the shortened zero bits intocorresponding positions.

Further, the LLR inserters 2530 and 2630 may insert the LLR valuescorresponding to the punctured bits into the positions of the puncturedbits in the LDPC codeword. In this case, the LLR values corresponding tothe punctured bits may be 0.

For this purpose, the receiver 200 may pre-store information aboutparameters and/or patterns used for the transmitter 100 to performpuncturing according to corresponding modes. Therefore, the LLRinserters 2530 and 2630 may determine the lengths of the punctured LDPCparity bits according to the corresponding modes, and insertcorresponding LLR values into the positions where the LDPC parity bitsare punctured.

Meanwhile, in a case of additional parity bits selected from thepunctured bits among the additional parity bits, the LLR inserter 2630may insert LLR values corresponding to the received additional paritybits, not an LLR value ‘0’ for the punctured bit, into the positions ofthe punctured bits.

The LLR combiners 2540 and 2640 may combine, that is, a sum the LLRvalues output from the LLR inserters 2530 and 2630 and the LLR valueoutput from the multiplexer 2622. However, the LLR combiners 2540 and2640 serve to update LLR values for specific bits into more correctvalues. However, the LLR values for the specific bits may also bedecoded from the received LLR values without the LLR combiners 2540 and2640, and therefore, in some cases, the LLR combiners 2540 and 2640 maybe omitted.

In detail, the LLR combiner 2540 is a component corresponding to therepeater 216 of the transmitter 100, and may perform an operationcorresponding to the operation of the repeater 216. Alternatively, theLLR combiner 2640 is a component corresponding to the repeater 317 andthe additional parity generator 319 of the transmitter 100, and mayperform operations corresponding to the operations of the repeater 317and the additional parity generator 319.

First, the LLR combiners 2540 and 2640 may combine LLR valuescorresponding to the repetition bits with other LLR values. Here, theother LLR values may be bits which are a basis of generating therepetition bits by the transmitter 100, that is, LLR values for the LDPCparity bits selected as the repeated object.

That is, as described above, the transmitter 100 selects bits from theLDPC parity bits and repeats the selected bits between the LDPCinformation bits and the LDPC parity bits generated by LDPC encoding,and transmits the repetition bits to the receiver 200.

As a result, the LLR values for the LDPC parity bits may be formed ofthe LLR values for the repeated LDPC parity bits and the LLR values forthe non-repeated LDPC parity bits, that is, the LDPC parity bitsgenerated by the LDPC encoding. Therefore, the LLR combiners 2540 and2640 may combine the LLR values for the same LDPC parity bits.

For this purpose, the receiver 200 may pre-store information aboutparameters used for the transmitter 100 to perform the repetitionaccording to corresponding modes. As a result, the LLR combiners 2540and 2640 may determine the lengths of the repeated LDPC parity bits,determine the positions of the bits which are a basis of the repetition,and combine the LLR values for the repeated LDPC parity bits with theLLR values for the LDPC parity bits which are a basis of the repetitionand generated by the LDPC encoding.

For example, as illustrated in FIGS. 34 and 35 , the LLR combiners 2540and 2640 may combine LLR values for repeated LDPC parity bits with LLRvalues for LDPC parity bits which are a basis of the repetition andgenerated by the LDPC encoding.

Meanwhile, when LPDC parity bits are repeated n times, the LLR combiners2540 and 2640 may combine LLR values for bits at the same position at ntimes or less.

For example, FIG. 34 illustrates a case in which some of LDPC paritybits other than punctured bits are repeated once. In this case, the LLRcombiners 2540 and 2640 may combine LLR values for the repeated LDPCparity bits with LLR values for the LDPC parity bits generated by theLDPC encoding, and then, output the combined LLR values or output theLLR values for the received repeated LDPC parity bits or the LLR valuesfor the received LDPC parity bits generated by the LDPC encoding withoutcombining them.

As another example, FIG. 35 illustrates a case in which some of thetransmitted LDPC parity bits, which are not punctured, are repeatedtwice, the remaining portion is repeated once, and the punctured LDPCparity bits are repeated once.

In this case, the LLR combiners 2540 and 2640 may process the remainingportion and the pictured bits which are repeated once by the same schemeas described above. However, the LLR combiners 2540 and 2640 may processthe portion repeated twice as follows. In this case, for convenience ofdescription, one of the two portions generated by repeating some of theLDPC parity bits twice is referred to as a first portion and the otheris referred to as the second portion.

In detail, the LLR combiners 2540 and 2640 may combine LLR values foreach of the first and second portions with LLR values for the LDPCparity bits. Alternatively, the LLR combiners 2540 and 2640 may combinethe LLR values for the first portion with the LLR values for the LDPCparity bits, combine the LLR values for the second portion with the LLRvalues for the LDPC parity bits, or combine the LLR values for the firstportion with the LLR values for the second portion. Alternatively, theLLR combiners 2540 and 2640 may output the LLR values for the firstportion, the LLR values for the second portion, the LLR values for theremaining portion, and punctured bits, without separate combination.

Further, the LLR combiner 2640 may combine LLR values corresponding toadditional parity bits with other LLR values. Here, the other LLR valuesmay be the LDPC parity bits which are a basis of the generation of theadditional parity bits by the transmitter 100, that is, the LLR valuesfor the LDPC parity bits selected for generation of the additionalparity bits.

That is, as described above, the transmitter 100 may map additionalparity bits for L1-detail signaling transmitted in a current frame to aprevious frame and transmit the mapped bits to the receiver 200.

In this case, the additional parity bits may include LDPC parity bitswhich are punctured and are not transmitted in the current frame, and insome cases, may further include LDPC parity bits transmitted in thecurrent frame.

As a result, the LLR combiner 2640 may combine LLR values for theadditional parity bits received through the current frame with LLRvalues inserted into the positions of the punctured LDPC parity bits inthe LDPC codeword received through the next frame and LLR values for theLDPC parity bits received through the next frame.

For this purpose, the receiver 200 may pre-store information aboutparameters and/or patterns used for the transmitter 100 to generate theadditional parity bits according to corresponding modes. As a result,the LLR combiner 2640 may determine the lengths of the additional paritybits, determine the positions of the LDPC parity bits which are a basisof generation of the additional parity bits, and combine the LLR valuesfor the additional parity bits with the LLR values for the LDPC paritybits which are a basis of generation of the additional parity bits.

The parity depermutators 2550 and 2650 may depermutate the LLR valuesoutput from the LLR combiners 2540 and 2640, respectively.

In detail, the parity depermutators 2550 and 2650 are componentscorresponding to the parity permutators 215 and 316 of the transmitter100, and may perform operations corresponding to the operations of theparity permutators 215 and 316, respectively.

For this purpose, the receiver 200 may pre-store information aboutparameters and/or patterns used for the transmitter 100 to performgroup-wise interleaving and parity interleaving according tocorresponding modes. Therefore, the parity depermutators 2550 and 2650may reversely perform the group-wise interleaving and parityinterleaving operations of the parity permutators 215 and 316 on the LLRvalues corresponding to the LDPC codeword bits, that is, performgroup-wise deinterleaving and parity deinterleaving operations toperform the parity depermutation on the LLR values corresponding to theLDPC codeword bits, respectively.

The LDPC decoders 2560 and 2660 may perform LDPC decoding based on theLLR values output from the parity depermutators 2550 and 2650,respectively.

In detail, the LDPC decoders 2560 and 2660 are components correspondingto the LDPC encoders 214 and 315 of the transmitter 100 and may performoperations corresponding to the operations of the LDPC encoders 214 and315, respectively.

For this purpose, the receiver 200 may pre-store information aboutparameters used for the transmitter 100 to perform the LDPC encodingaccording to corresponding modes. Therefore, the LDPC decoders 2560 andmay perform the LDPC decoding based on the LLR values output from theparity depermutators 2550 and 2650 according to the corresponding modes.

For example, the LDPC decoders 2560 and 2660 may perform the LDPCdecoding based on the LLR values output from the parity depermutators2550 and 2650 by iterative decoding based on a sum-product algorithm andoutput error-corrected bits depending on the LDPC decoding.

The zero removers 2570 and 2670 may remove zero bits from the bitsoutput from the LDPC decoders 2560 and 2660, respectively.

In detail, the zero removers 2570 and 2670 are components correspondingto the zero padders 213 and 314 of the transmitter 100, and may performoperations corresponding to the operations of the zero padders 213 and314, respectively.

For this purpose, the receiver 200 may pre-store information aboutparameters and/or patterns used for the transmitter 100 to pad the zerobits according to corresponding modes. As a result, the zero removers2570 and 2670 may remove the zero bits padded by the zero padders 213and 314 from the bits output from the LDPC decoders 2560 and 2660,respectively.

The BCH decoders 2580 and 2680 may perform BCH decoding on the bitsoutput from the zero removers 2570 and 2670, respectively.

In detail, the BCH decoders 2580 and 2680 are components correspondingto the BCH encoders 212 and 313 of the transmitter 100, and may performoperations corresponding to the operations of the BCH encoders 212 and313, respectively.

For this purpose, the receiver 200 may pre-store the information aboutparameters used for the transmitter 100 to perform BCH encoding. As aresult, the BCH decoders 2580 and 2680 may correct errors by performingthe BCH decoding on the bits output from the zero removers 2570 and 2670and output the error-corrected bits.

The descramblers 2590 and 2690 may descramble the bits output from theBCH decoders 2580 and 2680, respectively.

In detail, the descramblers 2590 and 2690 are components correspondingto the scramblers 211 and 312 of the transmitter 100, and may performoperations corresponding to the operations of the scramblers 211 and312.

For this purpose, the receiver 200 may pre-store information aboutparameters used for the transmitter 100 to perform scrambling. As aresult, the descramblers 2590 and 2690 may descramble the bits outputfrom the BCH decoders 2580 and 2680 and output them, respectively.

As a result, L1-basic signaling transmitted from the transmitter 100 maybe recovered. Further, when the transmitter 100 does not performsegmentation on L1-detail signaling, the L1-detail signaling transmittedfrom the transmitter 100 may also be recovered.

However, when the transmitter 100 performs the segmentation on theL1-detail signaling, the desegmenter 2695 may desegment the bits outputfrom the descrambler 2690.

In detail, the desegmenter 2695 is a component corresponding to thesegmenter 311 of the transmitter 100, and may perform an operationcorresponding to the operation of the segmenter 311.

For this purpose, the receiver 200 may pre-store information aboutparameters used for the transmitter 100 to perform the segmentation. Asa result, the desegmenter 2695 may combine the bits output from thedescrambler 2690, that is, the segments for the L1-detail signaling torecover the L1-detail signaling before the segmentation.

Meanwhile, the information about the length of the L1 signaling isprovided as illustrated in FIG. 36 . Therefore, the receiver 200 maycalculate the length of the L1-detail signaling and the length of theadditional parity bits.

Referring to FIG. 36 , since the L1-basic signaling provides informationabout L1-detail total cells, the receiver 200 needs to calculate thelength of the L1-detail signaling and the lengths of the additionalparity bits.

In detail, when L1B_L1_Detail_additional_parity_mode of the L1-basicsignaling is not 0, since the information on the givenL1B_L1_Detail_total_cells represents a total cell length(=N_(L1_detail_total_cells)), the receiver 200 may calculate the lengthN_(L1_detail_cells) of the L1-detail signaling and the lengthN_(AP_total_cells) of the additional parity bits based on followingEquations 55 to 58.

$\begin{matrix}{N_{L1{\_{FEC}}{\_{cells}}} = {\frac{N_{outer} + N_{repeat} + N_{ldpc\_ parity} - N_{punc}}{\eta_{MOD}} = \frac{N_{FEC}}{\eta_{MOD}}}} & (55)\end{matrix}$N _(L1_detail_cells) =N _(L1D_FECFRAME) ×N _(L1_FEC_cells)  (56)N _(AP_total_cells) =N _(L1_detail_total_cells) −N_(L1_detail_cells)  (57)

In this case, based on above Equations 55 to 57, an N_(AP_total_cells)value may be obtained based on an N_(L1_detail_total_cells) value whichmay be obtained from the information about the L1B_L1_Detail_total_cellsof the L1-basic signaling, N_(FEC), the N_(L1D_FECFRAME), and themodulation order η_(MOD). As an example, N_(AP_total_cells) may becalculated based on following Equation 58.

$\begin{matrix} & \left\lbrack {{Equation}58} \right\rbrack\end{matrix}$ $\begin{matrix}{N_{{AP}\_{total}\_{cells}} = {N_{{L1}\_{detail}\_{total}\_{cells}} - {N_{{L1D}\_{FECFRAME}} \times \frac{N_{FEC}}{{\eta}_{MOD}}}}} & \end{matrix}$

Meanwhile, a syntax, and field semantics of the L1-basic signaling fieldare as following Table 13.

TABLE 13 Syntax # of bits Format L1_Basic_signaling( ) {  L1B_L1_Detail_size_bits 16 uimsbf   L1B_L1_Detail_fec_type  3 uimsbf  L1B_L1_Detail_additional_parity_mode  2 uimsbf  L1B_L1_Detail_total_cells 19 uimsbf   L1B_Reserved ? uimsbf   L1B_crc32 uimsbf {

As a result, the receiver 200 may perform an operation of a receiver forthe additional parity bits in a next frame based on the additionalparity bits transmitted to the N_(AP_total_cells) cell among thereceived L1 detail cells.

FIG. 37 is a flow chart for describing a repetition method according toan exemplary embodiment.

First, an LDPC codeword including parity bits are generated by encodinginput bits (S3110).

Next, at least some bits from the LDPC codeword formed of the input bitsand the parity bits are selected, and the selected some bits are addedas repetition bits after the input bits (S3120).

Further, some of the parity bits are punctured (S3130).

Here, the input bits may include padded zero bits, and in operationS3120, the number of added bits may be calculated based on the number ofbits other than the padded zero bits in the input bits.

Further, the input bits include outer encoded bits, and in operationS3120, the number of added bits may be calculated based on the number ofouter encoded bits. In this case, the number of added bits may becalculated based on above Equation 8, and in above Equation 8, D may beeven number.

Meanwhile, in operation S3120, when the calculated number of bits isequal to or less than the number of parity bits, bits as many as thecalculated number from the first parity bit of the parity bits may beselected and the selected bits may be added after the input bits.

Further, in operation S3120, when the calculated number of bits isgreater than the number of parity bits, all the parity bits are selectedand the selected parity bits are added after the input bits and bits asmany as the number obtained by subtracting the number of parity bitsfrom the calculated number of bits from the first parity bit may beselected and the selected bits may be added after the added parity bits.

Meanwhile, the detailed description of the repetition is describedabove, and thus, duplicate descriptions are omitted.

Meanwhile, a non-transitory computer readable medium in which a programsequentially executing the various methods described above may be storedmay be provided according to an exemplary embodiment. The non-transitorycomputer readable medium is not a medium that stores data therein for awhile, such as a register, a cache, a memory, or the like, but means amedium that at least semi-permanently stores data therein and isreadable by a device such as a microprocessor. In detail, variousapplications or programs described above may be stored and provided inthe non-transitory computer readable medium such as a compact disk (CD),a digital versatile disk (DVD), a hard disk, a Blu-ray disk, a universalserial bus (USB), a memory card, a read only memory (ROM), or the like.

At least one of the components, elements, modules or units representedby a block as illustrated in FIGS. 1, 13, 14, 32 and 33 may be embodiedas various numbers of hardware, software and/or firmware structures thatexecute respective functions described above, according to an exemplaryembodiment. For example, at least one of these components, elements,modules or units may use a direct circuit structure, such as a memory, aprocessor, a logic circuit, a look-up table, etc. that may execute therespective functions through controls of one or more microprocessors orother control apparatuses. Also, at least one of these components,elements, modules or units may be specifically embodied by a module, aprogram, or a part of code, which contains one or more executableinstructions for performing specified logic functions, and executed byone or more microprocessors or other control apparatuses. Also, at leastone of these components, elements, modules or units may further includeor implemented by a processor such as a central processing unit (CPU)that performs the respective functions, a microprocessor, or the like.Two or more of these components, elements, modules or units may becombined into one single component, element, module or unit whichperforms all operations or functions of the combined two or morecomponents, elements, modules or units. Also, at least part of functionsof at least one of these components, elements, modules or units may beperformed by another of these components, elements, modules or units.Further, although a bus is not illustrated in the above block diagrams,communication between the components, elements, modules or units may beperformed through the bus. Functional aspects of the above exemplaryembodiments may be implemented in algorithms that execute on one or moreprocessors. Furthermore, the components, elements, modules or unitsrepresented by a block or processing steps may employ any number ofrelated art techniques for electronics configuration, signal processingand/or control, data processing and the like.

Although the exemplary embodiments of inventive concept have beenillustrated and described hereinabove, the inventive concept is notlimited to the above-mentioned exemplary embodiments, but may bevariously modified by those skilled in the art to which the inventiveconcept pertains without departing from the scope and spirit of theinventive concept as disclosed in the accompanying claims. For example,the exemplary embodiments are described in relation with BCH encodingand decoding and LDPC encoding and decoding. However, these embodimentsdo not limit the inventive concept to only a particular encoding anddecoding, and instead, the inventive concept may be applied to differenttypes of encoding and decoding with necessary modifications. Thesemodifications should also be understood to fall within the scope of theinventive concept.

What is claimed is:
 1. A receiving method of a receiving apparatus whichis operable in a mode among a plurality of modes, the receiving methodcomprising: receiving a signal from a transmitting apparatus;demodulating the signal to generate values; if the mode is apredetermined mode among the plurality of modes, adding first values ofthe generated values to second values of the generated values; anddecoding the added values and remaining values of the generated valuesbased on a low density parity check (LDPC) code, wherein the signal isgenerated by encoding information bits comprising input bits based onthe LDPC code to generate parity bits, selecting one or more parity bitsof the generated parity bits and appending the selected parity bitsbetween the information bits and the generated parity bits, wherein anumber of the parity bits to be selected is determined based on afollowing equation:N _(repeat)=2×└C×N _(outer) ┘+D, where N_(repeat) represents the numberof the parity bits to be selected, N_(outer) represents a number of theinput bits and C and D are predetermined values respectively, whereinthe first values correspond to two or more parity bits among theappended parity bits, and wherein the second values correspond to two ormore parity bits among the selected parity bits.
 2. The receiving methodof claim 1, wherein the transmitting apparatus is configured to, if thenumber of the parity bits to be selected is equal to or less than anumber of the generated parity bits, select bits from a first bit of thegenerated parity bits based on the number of the one or more parity bitsto be selected, and append the selected parity bits to the informationbits.
 3. The receiving method of claim 1, wherein, the transmittingapparatus is configured to, if the number of the one or more parity bitsto be selected is greater than a number of the generated parity bits,select the generated parity bits, append the selected parity bits to theinformation bits, additionally select bits based on a number obtained bysubtracting the number of the generated parity bits from the number ofthe parity bits to be selected, and append the additionally selectedbits to the appended parity bits.
 4. A transmitting method of atransmitting apparatus which is operable based on a mode among aplurality of modes, the transmitting method comprising: encodinginformation bits comprising input bits to generate parity bits based ona low density parity check (LDPC) code, a code length of the LDPC codebeing 16200 bits; if the mode is a predetermined mode among theplurality of modes, performing a repetition by determining a number ofrepetition bits based on a number of the input bits, selecting one ormore parity bits of the generated parity bits based on the determinednumber and a number of the generated parity bits and appending theselected bits between the information bits and the generated paritybits; puncturing one or more parity bits of the generated parity bits;if the mode is the predetermined mode, mapping the input bits, theappended parity bits and remaining parity bits of the generated paritybits after the puncturing to constellation points for a quadrature phaseshift keying (QPSK); and transmitting a signal which is generated basedon the constellation points.
 5. The transmitting method of claim 4,wherein if the determined number is equal to or less than the number ofthe generated parity bits, the one or more parity bits are selected froma first bit of the generated parity bits based on the determined number.6. The transmitting method of claim 4, wherein the selecting comprisesif the determined number is greater than the number of the generatedparity bits, the generated parity bits are selected, the selected paritybits are appended to the information bits, at least one parity bit isselected from a first bit of the generated parity bits based on a numberobtained by subtracting the number of the generated parity bits from thedetermined number, and the selected at least one parity bit is appendedto the appended parity bits.